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Finding the Fourth Proportional to 225,446.28, 338,174.89 and 75,691.46

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Solution

The fourth proportional to 225,446.28, 338,174.89 and 75,691.46 is: 113,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,446.28 : 338,174.89 = 75,691.46 : x
  2. Step 2: Convert to fraction form
    225,446.28/338,174.89 = 75,691.46/x
  3. Step 3: Cross multiply
    225,446.28x = 338,174.89 × 75,691.46
  4. Step 4: Simplify right side
    225,446.28x = 25,596,949,279.34
  5. Step 5: Solve for x
    x = 25,596,949,279.34/225,446.28
  6. Step 6: Final answer
    x = 113,539.02

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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.