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Finding the Fourth Proportional to 157,583.46, 217,468.26 and 85,966.14

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Solution

The fourth proportional to 157,583.46, 217,468.26 and 85,966.14 is: 118,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,583.46 : 217,468.26 = 85,966.14 : x
  2. Step 2: Convert to fraction form
    157,583.46/217,468.26 = 85,966.14/x
  3. Step 3: Cross multiply
    157,583.46x = 217,468.26 × 85,966.14
  4. Step 4: Simplify right side
    157,583.46x = 18,694,906,884.72
  5. Step 5: Solve for x
    x = 18,694,906,884.72/157,583.46
  6. Step 6: Final answer
    x = 118,634.96

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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.