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Finding the Fourth Proportional to 359,167.50, 538,753.95 and 159,434.19

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Solution

The fourth proportional to 359,167.50, 538,753.95 and 159,434.19 is: 239,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,167.50 : 538,753.95 = 159,434.19 : x
  2. Step 2: Convert to fraction form
    359,167.50/538,753.95 = 159,434.19/x
  3. Step 3: Cross multiply
    359,167.50x = 538,753.95 × 159,434.19
  4. Step 4: Simplify right side
    359,167.50x = 85,895,799,627.55
  5. Step 5: Solve for x
    x = 85,895,799,627.55/359,167.50
  6. Step 6: Final answer
    x = 239,152.48

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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.