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Finding the Fourth Proportional to 156,642.27, 216,166.58 and 85,022.31

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Solution

The fourth proportional to 156,642.27, 216,166.58 and 85,022.31 is: 117,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.27 : 216,166.58 = 85,022.31 : x
  2. Step 2: Convert to fraction form
    156,642.27/216,166.58 = 85,022.31/x
  3. Step 3: Cross multiply
    156,642.27x = 216,166.58 × 85,022.31
  4. Step 4: Simplify right side
    156,642.27x = 18,378,981,551.29
  5. Step 5: Solve for x
    x = 18,378,981,551.29/156,642.27
  6. Step 6: Final answer
    x = 117,330.92

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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.