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Finding the Fourth Proportional to 113,715.90, 156,924.54 and 63,414.90

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Solution

The fourth proportional to 113,715.90, 156,924.54 and 63,414.90 is: 87,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,715.90 : 156,924.54 = 63,414.90 : x
  2. Step 2: Convert to fraction form
    113,715.90/156,924.54 = 63,414.90/x
  3. Step 3: Cross multiply
    113,715.90x = 156,924.54 × 63,414.90
  4. Step 4: Simplify right side
    113,715.90x = 9,951,354,011.65
  5. Step 5: Solve for x
    x = 9,951,354,011.65/113,715.90
  6. Step 6: Final answer
    x = 87,510.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.