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Finding the Fourth Proportional to 206,089.97, 284,407.12 and 120,046.75

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Solution

The fourth proportional to 206,089.97, 284,407.12 and 120,046.75 is: 165,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.97 : 284,407.12 = 120,046.75 : x
  2. Step 2: Convert to fraction form
    206,089.97/284,407.12 = 120,046.75/x
  3. Step 3: Cross multiply
    206,089.97x = 284,407.12 × 120,046.75
  4. Step 4: Simplify right side
    206,089.97x = 34,142,149,832.63
  5. Step 5: Solve for x
    x = 34,142,149,832.63/206,089.97
  6. Step 6: Final answer
    x = 165,666.24

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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.