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Finding the Fourth Proportional to 123,909.17, 185,864.36 and 30,414.92

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Solution

The fourth proportional to 123,909.17, 185,864.36 and 30,414.92 is: 45,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,909.17 : 185,864.36 = 30,414.92 : x
  2. Step 2: Convert to fraction form
    123,909.17/185,864.36 = 30,414.92/x
  3. Step 3: Cross multiply
    123,909.17x = 185,864.36 × 30,414.92
  4. Step 4: Simplify right side
    123,909.17x = 5,653,048,558.85
  5. Step 5: Solve for x
    x = 5,653,048,558.85/123,909.17
  6. Step 6: Final answer
    x = 45,622.52

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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.