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Finding the Fourth Proportional to 206,118.47, 284,440.01 and 115,474.13

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Solution

The fourth proportional to 206,118.47, 284,440.01 and 115,474.13 is: 159,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118.47 : 284,440.01 = 115,474.13 : x
  2. Step 2: Convert to fraction form
    206,118.47/284,440.01 = 115,474.13/x
  3. Step 3: Cross multiply
    206,118.47x = 284,440.01 × 115,474.13
  4. Step 4: Simplify right side
    206,118.47x = 32,845,463,691.73
  5. Step 5: Solve for x
    x = 32,845,463,691.73/206,118.47
  6. Step 6: Final answer
    x = 159,352.36

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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.