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Finding the Fourth Proportional to 156,642.20, 216,166.50 and 85,022.24

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Solution

The fourth proportional to 156,642.20, 216,166.50 and 85,022.24 is: 117,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.20 : 216,166.50 = 85,022.24 : x
  2. Step 2: Convert to fraction form
    156,642.20/216,166.50 = 85,022.24/x
  3. Step 3: Cross multiply
    156,642.20x = 216,166.50 × 85,022.24
  4. Step 4: Simplify right side
    156,642.20x = 18,378,960,042.96
  5. Step 5: Solve for x
    x = 18,378,960,042.96/156,642.20
  6. Step 6: Final answer
    x = 117,330.83

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