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Finding the Fourth Proportional to 287,542.70, 431,314.05 and 77,201.90

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Solution

The fourth proportional to 287,542.70, 431,314.05 and 77,201.90 is: 115,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,542.70 : 431,314.05 = 77,201.90 : x
  2. Step 2: Convert to fraction form
    287,542.70/431,314.05 = 77,201.90/x
  3. Step 3: Cross multiply
    287,542.70x = 431,314.05 × 77,201.90
  4. Step 4: Simplify right side
    287,542.70x = 33,298,264,156.70
  5. Step 5: Solve for x
    x = 33,298,264,156.70/287,542.70
  6. Step 6: Final answer
    x = 115,802.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.