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Finding the Fourth Proportional to 206,917.20, 285,524.46 and 116,258.76

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Solution

The fourth proportional to 206,917.20, 285,524.46 and 116,258.76 is: 160,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,917.20 : 285,524.46 = 116,258.76 : x
  2. Step 2: Convert to fraction form
    206,917.20/285,524.46 = 116,258.76/x
  3. Step 3: Cross multiply
    206,917.20x = 285,524.46 × 116,258.76
  4. Step 4: Simplify right side
    206,917.20x = 33,194,719,669.27
  5. Step 5: Solve for x
    x = 33,194,719,669.27/206,917.20
  6. Step 6: Final answer
    x = 160,425.13

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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.