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Finding the Fourth Proportional to 206,253.96, 284,616.36 and 115,594.44

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Solution

The fourth proportional to 206,253.96, 284,616.36 and 115,594.44 is: 159,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,253.96 : 284,616.36 = 115,594.44 : x
  2. Step 2: Convert to fraction form
    206,253.96/284,616.36 = 115,594.44/x
  3. Step 3: Cross multiply
    206,253.96x = 284,616.36 × 115,594.44
  4. Step 4: Simplify right side
    206,253.96x = 32,900,068,749.04
  5. Step 5: Solve for x
    x = 32,900,068,749.04/206,253.96
  6. Step 6: Final answer
    x = 159,512.42

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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.