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Finding the Fourth Proportional to 206,131.99, 284,473.84 and 115,517.17

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Solution

The fourth proportional to 206,131.99, 284,473.84 and 115,517.17 is: 159,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,131.99 : 284,473.84 = 115,517.17 : x
  2. Step 2: Convert to fraction form
    206,131.99/284,473.84 = 115,517.17/x
  3. Step 3: Cross multiply
    206,131.99x = 284,473.84 × 115,517.17
  4. Step 4: Simplify right side
    206,131.99x = 32,861,613,358.22
  5. Step 5: Solve for x
    x = 32,861,613,358.22/206,131.99
  6. Step 6: Final answer
    x = 159,420.25

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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.