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Finding the Fourth Proportional to 359,691.60, 539,105.40 and 149,221.20

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Solution

The fourth proportional to 359,691.60, 539,105.40 and 149,221.20 is: 223,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,691.60 : 539,105.40 = 149,221.20 : x
  2. Step 2: Convert to fraction form
    359,691.60/539,105.40 = 149,221.20/x
  3. Step 3: Cross multiply
    359,691.60x = 539,105.40 × 149,221.20
  4. Step 4: Simplify right side
    359,691.60x = 80,445,954,714.48
  5. Step 5: Solve for x
    x = 80,445,954,714.48/359,691.60
  6. Step 6: Final answer
    x = 223,652.58

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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.