Philadelphia Phillies First-Place Clinch Scenario

Philadelphia's traditional magic number (relative to second-place New York) is 30 + 112 - 32 + 1 = 111.
Philadelphia's first-place clinch number is 107.
Philadelphia must win 107 more games (139 total) to clinch first place.

If Philadelphia wins 107 more games, their final win total will be at least 139.
The table below shows the best case scenario for each of the other teams if Philadelphia wins 107 of their remaining 112 games and loses the other 5.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Philadelphia' column gives the
minimum number of games that each team will lose to Philadelphia if Philadelphia wins 107 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Philadelphia, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Philadelphia	Maximum W
New York         30	20	112	      10 - 5 = 5	137
Washington       23	27	112	       7 - 5 = 2	133
Atlanta          24	25	113	      10 - 5 = 5	132
Miami            19	29	114	      10 - 5 = 5	128

The table above shows that if Philadelphia wins 107 more games (139 total), then they will finish the season in first place in the division.

To see that Philadelphia's first-place clinch number cannot be less than 107, consider the following scenario in which Philadelphia wins 106 more games (138 total) but does not finish in first place:

Team             W	L	PCT	GB
New York         138	24	0.852	0.00
Philadelphia     138	24	0.852	0.00
Atlanta          79	83	0.488	59.00
Miami            76	86	0.469	62.00
Washington       59	103	0.364	79.00

Tie breakers
New York wins the season series with Philadelphia 9 games to 4.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Philadelphia     32	18	112	0.640	0.0
New York         30	20	112	0.600	2.0
Atlanta          24	25	113	0.490	7.5
Washington       23	27	112	0.460	9.0
Miami            19	29	114	0.396	12.0

Next, we show how the remaining series of games in the division play out in the scenario:


Atlanta currently has 3 wins against Washington and 3 losses.
  Atlanta wins 7 additional games against Washington and loses 0.
  Atlanta wins the series 10 games to 3

Miami currently has 1 wins against Atlanta and 1 losses.
  Miami wins 9 additional games against Atlanta and loses 2.
  Miami wins the series 10 games to 3

Miami currently has 2 wins against Washington and 1 losses.
  Miami wins 10 additional games against Washington and loses 0.
  Miami wins the series 12 games to 1

New York currently has 0 wins against Atlanta and 0 losses.
  New York wins 13 additional games against Atlanta and loses 0.
  New York wins the series 13 games to 0

New York currently has 4 wins against Miami and 2 losses.
  New York wins 7 additional games against Miami and loses 0.
  New York wins the series 11 games to 2

New York currently has 3 wins against Philadelphia and 0 losses.
  New York wins 6 additional games against Philadelphia and loses 4.
  New York wins the series 9 games to 4

New York currently has 2 wins against Washington and 2 losses.
  New York wins 9 additional games against Washington and loses 0.
  New York wins the series 11 games to 2

Philadelphia currently has 1 wins against Atlanta and 2 losses.
  Philadelphia wins 10 additional games against Atlanta and loses 0.
  Philadelphia wins the series 11 games to 2

Philadelphia currently has 2 wins against Miami and 1 losses.
  Philadelphia wins 10 additional games against Miami and loses 0.
  Philadelphia wins the series 12 games to 1

Philadelphia currently has 4 wins against Washington and 2 losses.
  Philadelphia wins 7 additional games against Washington and loses 0.
  Philadelphia wins the series 11 games to 2

Atlanta wins 46 games agains teams outside the division and loses 26.
Miami wins 38 games agains teams outside the division and loses 38.
New York wins 73 games agains teams outside the division and loses 0.
Philadelphia wins 75 games agains teams outside the division and loses 0.
Washington wins 36 games agains teams outside the division and loses 43.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Philadelphia Phillies' magic number
# Philadelphia's magic number
# Phillies' magic number
# MLB Playoff Race