Mathematics Olympics Competition Geometry Problem

Geometry Level 3

PP is a point inside of the triangle ABCABC. MNAB MN \parallel AB, ERCAER \parallel CA, DTCBDT \parallel CB. The area of triangles t1,t2,t3 t_1, t_2, t_3 are 4,94, 9 and 4949. Solve for the area of triangle ABCABC .

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