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Finding the Fourth Proportional to 156,932.30, 216,564.01 and 85,314.13

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Solution

The fourth proportional to 156,932.30, 216,564.01 and 85,314.13 is: 117,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932.30 : 216,564.01 = 85,314.13 : x
  2. Step 2: Convert to fraction form
    156,932.30/216,564.01 = 85,314.13/x
  3. Step 3: Cross multiply
    156,932.30x = 216,564.01 × 85,314.13
  4. Step 4: Simplify right side
    156,932.30x = 18,475,970,102.46
  5. Step 5: Solve for x
    x = 18,475,970,102.46/156,932.30
  6. Step 6: Final answer
    x = 117,732.11

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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.