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Finding the Fourth Proportional to 156,644.10, 216,169.95 and 85,024.11

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Solution

The fourth proportional to 156,644.10, 216,169.95 and 85,024.11 is: 117,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,644.10 : 216,169.95 = 85,024.11 : x
  2. Step 2: Convert to fraction form
    156,644.10/216,169.95 = 85,024.11/x
  3. Step 3: Cross multiply
    156,644.10x = 216,169.95 × 85,024.11
  4. Step 4: Simplify right side
    156,644.10x = 18,379,656,793.47
  5. Step 5: Solve for x
    x = 18,379,656,793.47/156,644.10
  6. Step 6: Final answer
    x = 117,333.86

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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.