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Finding the Fourth Proportional to 252,514.92, 378,824.20 and 75,006.12

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Solution

The fourth proportional to 252,514.92, 378,824.20 and 75,006.12 is: 112,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,514.92 : 378,824.20 = 75,006.12 : x
  2. Step 2: Convert to fraction form
    252,514.92/378,824.20 = 75,006.12/x
  3. Step 3: Cross multiply
    252,514.92x = 378,824.20 × 75,006.12
  4. Step 4: Simplify right side
    252,514.92x = 28,414,133,404.10
  5. Step 5: Solve for x
    x = 28,414,133,404.10/252,514.92
  6. Step 6: Final answer
    x = 112,524.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.