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Finding the Fourth Proportional to 156,642.29, 216,166.55 and 85,022.29

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Solution

The fourth proportional to 156,642.29, 216,166.55 and 85,022.29 is: 117,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.29 : 216,166.55 = 85,022.29 : x
  2. Step 2: Convert to fraction form
    156,642.29/216,166.55 = 85,022.29/x
  3. Step 3: Cross multiply
    156,642.29x = 216,166.55 × 85,022.29
  4. Step 4: Simplify right side
    156,642.29x = 18,378,975,102.40
  5. Step 5: Solve for x
    x = 18,378,975,102.40/156,642.29
  6. Step 6: Final answer
    x = 117,330.86

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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.