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Finding the Fourth Proportional to 206,089.47, 284,406.43 and 120,046.25

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Solution

The fourth proportional to 206,089.47, 284,406.43 and 120,046.25 is: 165,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.47 : 284,406.43 = 120,046.25 : x
  2. Step 2: Convert to fraction form
    206,089.47/284,406.43 = 120,046.25/x
  3. Step 3: Cross multiply
    206,089.47x = 284,406.43 × 120,046.25
  4. Step 4: Simplify right side
    206,089.47x = 34,141,924,797.16
  5. Step 5: Solve for x
    x = 34,141,924,797.16/206,089.47
  6. Step 6: Final answer
    x = 165,665.55

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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.