Washington has been eliminated from first place.

To show that Washington is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
    Philadelphia	95	67	0	0.586	0.0
         Atlanta	89	73	0	0.549	6.0
        New York	89	73	0	0.549	6.0
      Washington	71	91	0	0.438	24.0
           Miami	62	100	0	0.383	33.0
           Total	406	404	0

Washington can finish the season with at most 71 + 0 = 71 wins and will finish the season behind the following teams:
Philadelphia has already won 95 games.
Atlanta has already won 89 games.
New York has already won 89 games.
# Washington Nationals' magic number
# Washington's magic number
# Nationals' magic number
# MLB Playoff Race