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Finding the Fourth Proportional to 206,481.85, 284,945.60 and 115,837.87

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Solution

The fourth proportional to 206,481.85, 284,945.60 and 115,837.87 is: 159,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481.85 : 284,945.60 = 115,837.87 : x
  2. Step 2: Convert to fraction form
    206,481.85/284,945.60 = 115,837.87/x
  3. Step 3: Cross multiply
    206,481.85x = 284,945.60 × 115,837.87
  4. Step 4: Simplify right side
    206,481.85x = 33,007,491,631.20
  5. Step 5: Solve for x
    x = 33,007,491,631.20/206,481.85
  6. Step 6: Final answer
    x = 159,856.63

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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.