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Finding the Fourth Proportional to 104,691.56, 156,977.66 and 71,451.86

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Solution

The fourth proportional to 104,691.56, 156,977.66 and 71,451.86 is: 107,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691.56 : 156,977.66 = 71,451.86 : x
  2. Step 2: Convert to fraction form
    104,691.56/156,977.66 = 71,451.86/x
  3. Step 3: Cross multiply
    104,691.56x = 156,977.66 × 71,451.86
  4. Step 4: Simplify right side
    104,691.56x = 11,216,345,179.19
  5. Step 5: Solve for x
    x = 11,216,345,179.19/104,691.56
  6. Step 6: Final answer
    x = 107,137.06

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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.