Washington Nationals First-Place Clinch Scenario

Washington does not have a first-place clinch number

Here is a scenario in which Washington wins all 10 of their remaining games (72 total) but does not but does not clinch first place.

Team             W	L	PCT	GB
Philadelphia     93	69	0.574	0.00
New York         82	80	0.506	11.00
Miami            75	87	0.463	18.00
Washington       72	90	0.444	21.00
Atlanta          71	91	0.438	22.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Philadelphia     91	61	10	0.599	0.0
New York         78	73	11	0.517	12.5
Miami            71	80	11	0.470	19.5
Atlanta          69	83	10	0.454	22.0
Washington       62	90	10	0.408	29.0

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

Atlanta has won the season series with Miami 8 games to 5.
Atlanta has won the season series with New York 8 games to 5.
Miami has won the season series with Washington 7 games to 6.
New York has won the season series with Philadelphia 7 games to 6.
Philadelphia has won the season series with Atlanta 8 games to 5.
Philadelphia has won the season series with Washington 8 games to 5.

New York currently has 5 wins against Miami and 5 losses.
  New York wins 2 additional games against Miami and loses 1.
  New York wins the series 7 games to 6

Philadelphia currently has 7 wins against Miami and 3 losses.
  Philadelphia wins 0 additional games against Miami and loses 3.
  Philadelphia wins the series 7 games to 6

Washington currently has 3 wins against Atlanta and 6 losses.
  Washington wins 4 additional games against Atlanta and loses 0.
  Washington wins the series 7 games to 6

Washington currently has 4 wins against New York and 6 losses.
  Washington wins 3 additional games against New York and loses 0.
  Washington wins the series 7 games to 6

Atlanta wins 2 games agains teams outside the division and loses 4.
Miami wins 0 games agains teams outside the division and loses 5.
New York wins 2 games agains teams outside the division and loses 3.
Philadelphia wins 2 games agains teams outside the division and loses 5.
Washington wins 3 games agains teams outside the division and loses 0.

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