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	89	61	12	0.593	0.0
        New York	77	73	12	0.513	12.0
           Miami	70	80	12	0.467	19.0
         Atlanta	66	83	13	0.443	22.5
      Washington	62	87	13	0.416	26.5
           Total	364	384	62

Washington can finish the season with at most 62 + 13 = 75 wins and will finish the season behind the following teams:
Philadelphia has already won 89 games.
New York has already won 77 games.
# Washington Nationals' magic number
# Washington's magic number
# Nationals' magic number
# MLB Playoff Race