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Finding the Fourth Proportional to 206,074.20, 284,385.42 and 125,505.48

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Solution

The fourth proportional to 206,074.20, 284,385.42 and 125,505.48 is: 173,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.20 : 284,385.42 = 125,505.48 : x
  2. Step 2: Convert to fraction form
    206,074.20/284,385.42 = 125,505.48/x
  3. Step 3: Cross multiply
    206,074.20x = 284,385.42 × 125,505.48
  4. Step 4: Simplify right side
    206,074.20x = 35,691,928,642.10
  5. Step 5: Solve for x
    x = 35,691,928,642.10/206,074.20
  6. Step 6: Final answer
    x = 173,199.40

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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.