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Finding the Fourth Proportional to 206,118.87, 284,452.20 and 115,475.58

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Solution

The fourth proportional to 206,118.87, 284,452.20 and 115,475.58 is: 159,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118.87 : 284,452.20 = 115,475.58 : x
  2. Step 2: Convert to fraction form
    206,118.87/284,452.20 = 115,475.58/x
  3. Step 3: Cross multiply
    206,118.87x = 284,452.20 × 115,475.58
  4. Step 4: Simplify right side
    206,118.87x = 32,847,282,777.28
  5. Step 5: Solve for x
    x = 32,847,282,777.28/206,118.87
  6. Step 6: Final answer
    x = 159,360.87

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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.