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Finding the Fourth Proportional to 157,385.31, 217,194.21 and 85,765.29

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Solution

The fourth proportional to 157,385.31, 217,194.21 and 85,765.29 is: 118,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,385.31 : 217,194.21 = 85,765.29 : x
  2. Step 2: Convert to fraction form
    157,385.31/217,194.21 = 85,765.29/x
  3. Step 3: Cross multiply
    157,385.31x = 217,194.21 × 85,765.29
  4. Step 4: Simplify right side
    157,385.31x = 18,627,724,406.97
  5. Step 5: Solve for x
    x = 18,627,724,406.97/157,385.31
  6. Step 6: Final answer
    x = 118,357.45

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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.