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Finding the Fourth Proportional to 206,260.40, 284,652.50 and 115,616.38

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Solution

The fourth proportional to 206,260.40, 284,652.50 and 115,616.38 is: 159,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,260.40 : 284,652.50 = 115,616.38 : x
  2. Step 2: Convert to fraction form
    206,260.40/284,652.50 = 115,616.38/x
  3. Step 3: Cross multiply
    206,260.40x = 284,652.50 × 115,616.38
  4. Step 4: Simplify right side
    206,260.40x = 32,910,491,607.95
  5. Step 5: Solve for x
    x = 32,910,491,607.95/206,260.40
  6. Step 6: Final answer
    x = 159,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.