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Finding the Fourth Proportional to 263,517.92, 363,654.28 and 142,659.16

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Solution

The fourth proportional to 263,517.92, 363,654.28 and 142,659.16 is: 196,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,517.92 : 363,654.28 = 142,659.16 : x
  2. Step 2: Convert to fraction form
    263,517.92/363,654.28 = 142,659.16/x
  3. Step 3: Cross multiply
    263,517.92x = 363,654.28 × 142,659.16
  4. Step 4: Simplify right side
    263,517.92x = 51,878,614,115.20
  5. Step 5: Solve for x
    x = 51,878,614,115.20/263,517.92
  6. Step 6: Final answer
    x = 196,869.40

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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.