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Finding the Fourth Proportional to 206,039.82, 284,341.95 and 115,399.61

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Solution

The fourth proportional to 206,039.82, 284,341.95 and 115,399.61 is: 159,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,039.82 : 284,341.95 = 115,399.61 : x
  2. Step 2: Convert to fraction form
    206,039.82/284,341.95 = 115,399.61/x
  3. Step 3: Cross multiply
    206,039.82x = 284,341.95 × 115,399.61
  4. Step 4: Simplify right side
    206,039.82x = 32,812,948,714.93
  5. Step 5: Solve for x
    x = 32,812,948,714.93/206,039.82
  6. Step 6: Final answer
    x = 159,255.37

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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.