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Finding the Fourth Proportional to 156,642.90, 216,167.41 and 85,022.93

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Solution

The fourth proportional to 156,642.90, 216,167.41 and 85,022.93 is: 117,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.90 : 216,167.41 = 85,022.93 : x
  2. Step 2: Convert to fraction form
    156,642.90/216,167.41 = 85,022.93/x
  3. Step 3: Cross multiply
    156,642.90x = 216,167.41 × 85,022.93
  4. Step 4: Simplify right side
    156,642.90x = 18,379,187,321.69
  5. Step 5: Solve for x
    x = 18,379,187,321.69/156,642.90
  6. Step 6: Final answer
    x = 117,331.76

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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.