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Finding the Fourth Proportional to 206,149.46, 284,531.27 and 120,122.60

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Solution

The fourth proportional to 206,149.46, 284,531.27 and 120,122.60 is: 165,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,149.46 : 284,531.27 = 120,122.60 : x
  2. Step 2: Convert to fraction form
    206,149.46/284,531.27 = 120,122.60/x
  3. Step 3: Cross multiply
    206,149.46x = 284,531.27 × 120,122.60
  4. Step 4: Simplify right side
    206,149.46x = 34,178,633,910.43
  5. Step 5: Solve for x
    x = 34,178,633,910.43/206,149.46
  6. Step 6: Final answer
    x = 165,795.41

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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.