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Finding the Fourth Proportional to 202,075.20, 278,863.20 and 117,241.92

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Solution

The fourth proportional to 202,075.20, 278,863.20 and 117,241.92 is: 161,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,075.20 : 278,863.20 = 117,241.92 : x
  2. Step 2: Convert to fraction form
    202,075.20/278,863.20 = 117,241.92/x
  3. Step 3: Cross multiply
    202,075.20x = 278,863.20 × 117,241.92
  4. Step 4: Simplify right side
    202,075.20x = 32,694,456,985.34
  5. Step 5: Solve for x
    x = 32,694,456,985.34/202,075.20
  6. Step 6: Final answer
    x = 161,793.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.