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Finding the Fourth Proportional to 206,044.25, 284,347.33 and 115,399.98

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Solution

The fourth proportional to 206,044.25, 284,347.33 and 115,399.98 is: 159,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,044.25 : 284,347.33 = 115,399.98 : x
  2. Step 2: Convert to fraction form
    206,044.25/284,347.33 = 115,399.98/x
  3. Step 3: Cross multiply
    206,044.25x = 284,347.33 × 115,399.98
  4. Step 4: Simplify right side
    206,044.25x = 32,813,675,906.55
  5. Step 5: Solve for x
    x = 32,813,675,906.55/206,044.25
  6. Step 6: Final answer
    x = 159,255.48

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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.