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Finding the Fourth Proportional to 156,906.24, 216,531 and 85,286.16

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Solution

The fourth proportional to 156,906.24, 216,531 and 85,286.16 is: 117,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906.24 : 216,531 = 85,286.16 : x
  2. Step 2: Convert to fraction form
    156,906.24/216,531 = 85,286.16/x
  3. Step 3: Cross multiply
    156,906.24x = 216,531 × 85,286.16
  4. Step 4: Simplify right side
    156,906.24x = 18,467,097,510.96
  5. Step 5: Solve for x
    x = 18,467,097,510.96/156,906.24
  6. Step 6: Final answer
    x = 117,695.11

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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.