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Finding the Fourth Proportional to 104,694.56, 156,982.16 and 71,454.86

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Solution

The fourth proportional to 104,694.56, 156,982.16 and 71,454.86 is: 107,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,694.56 : 156,982.16 = 71,454.86 : x
  2. Step 2: Convert to fraction form
    104,694.56/156,982.16 = 71,454.86/x
  3. Step 3: Cross multiply
    104,694.56x = 156,982.16 × 71,454.86
  4. Step 4: Simplify right side
    104,694.56x = 11,217,138,265.30
  5. Step 5: Solve for x
    x = 11,217,138,265.30/104,694.56
  6. Step 6: Final answer
    x = 107,141.56

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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.