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Finding the Fourth Proportional to 225,613.92, 338,414.40 and 75,862.74

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Solution

The fourth proportional to 225,613.92, 338,414.40 and 75,862.74 is: 113,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,613.92 : 338,414.40 = 75,862.74 : x
  2. Step 2: Convert to fraction form
    225,613.92/338,414.40 = 75,862.74/x
  3. Step 3: Cross multiply
    225,613.92x = 338,414.40 × 75,862.74
  4. Step 4: Simplify right side
    225,613.92x = 25,673,043,639.46
  5. Step 5: Solve for x
    x = 25,673,043,639.46/225,613.92
  6. Step 6: Final answer
    x = 113,791.93

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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.