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Finding the Fourth Proportional to 206,512.70, 284,982.96 and 115,867.04

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Solution

The fourth proportional to 206,512.70, 284,982.96 and 115,867.04 is: 159,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,512.70 : 284,982.96 = 115,867.04 : x
  2. Step 2: Convert to fraction form
    206,512.70/284,982.96 = 115,867.04/x
  3. Step 3: Cross multiply
    206,512.70x = 284,982.96 × 115,867.04
  4. Step 4: Simplify right side
    206,512.70x = 33,020,132,025.64
  5. Step 5: Solve for x
    x = 33,020,132,025.64/206,512.70
  6. Step 6: Final answer
    x = 159,893.95

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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.