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Finding the Fourth Proportional to 206,174.13, 284,520.15 and 115,530.81

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Solution

The fourth proportional to 206,174.13, 284,520.15 and 115,530.81 is: 159,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,174.13 : 284,520.15 = 115,530.81 : x
  2. Step 2: Convert to fraction form
    206,174.13/284,520.15 = 115,530.81/x
  3. Step 3: Cross multiply
    206,174.13x = 284,520.15 × 115,530.81
  4. Step 4: Simplify right side
    206,174.13x = 32,870,843,390.82
  5. Step 5: Solve for x
    x = 32,870,843,390.82/206,174.13
  6. Step 6: Final answer
    x = 159,432.43

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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.