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Finding the Fourth Proportional to 206,331.42, 284,733.74 and 115,687.11

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Solution

The fourth proportional to 206,331.42, 284,733.74 and 115,687.11 is: 159,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,331.42 : 284,733.74 = 115,687.11 : x
  2. Step 2: Convert to fraction form
    206,331.42/284,733.74 = 115,687.11/x
  3. Step 3: Cross multiply
    206,331.42x = 284,733.74 × 115,687.11
  4. Step 4: Simplify right side
    206,331.42x = 32,940,022,129.25
  5. Step 5: Solve for x
    x = 32,940,022,129.25/206,331.42
  6. Step 6: Final answer
    x = 159,646.17

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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.