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Finding the Fourth Proportional to 206,149.23, 284,480.01 and 120,127.23

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Solution

The fourth proportional to 206,149.23, 284,480.01 and 120,127.23 is: 165,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,149.23 : 284,480.01 = 120,127.23 : x
  2. Step 2: Convert to fraction form
    206,149.23/284,480.01 = 120,127.23/x
  3. Step 3: Cross multiply
    206,149.23x = 284,480.01 × 120,127.23
  4. Step 4: Simplify right side
    206,149.23x = 34,173,795,591.67
  5. Step 5: Solve for x
    x = 34,173,795,591.67/206,149.23
  6. Step 6: Final answer
    x = 165,772.12

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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.