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Finding the Fourth Proportional to 123,402.78, 185,104.17 and 29,908.53

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Solution

The fourth proportional to 123,402.78, 185,104.17 and 29,908.53 is: 44,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402.78 : 185,104.17 = 29,908.53 : x
  2. Step 2: Convert to fraction form
    123,402.78/185,104.17 = 29,908.53/x
  3. Step 3: Cross multiply
    123,402.78x = 185,104.17 × 29,908.53
  4. Step 4: Simplify right side
    123,402.78x = 5,536,193,621.57
  5. Step 5: Solve for x
    x = 5,536,193,621.57/123,402.78
  6. Step 6: Final answer
    x = 44,862.80

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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.