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OBM 1990 Problem 4

    ABCDABCD is a quadrilateral, E,F,G,HE,F,G,H are midpoints of AB,BC,CD,DAAB,BC,CD,DA . Find the point P such that area(PHAE)=area(PEBF)=area(PFCG)=area(PGDH)area (PHAE) = area (PEBF) = area (PFCG) = area (PGDH) .

    Dataset text AI-MO AoPS. Quoted with source.

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