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Finding the Fourth Proportional to 206,272.97, 284,651.57 and 114,391.72

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Solution

The fourth proportional to 206,272.97, 284,651.57 and 114,391.72 is: 157,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272.97 : 284,651.57 = 114,391.72 : x
  2. Step 2: Convert to fraction form
    206,272.97/284,651.57 = 114,391.72/x
  3. Step 3: Cross multiply
    206,272.97x = 284,651.57 × 114,391.72
  4. Step 4: Simplify right side
    206,272.97x = 32,561,780,697.78
  5. Step 5: Solve for x
    x = 32,561,780,697.78/206,272.97
  6. Step 6: Final answer
    x = 157,857.72

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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.