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Finding the Fourth Proportional to 267,896.48, 401,565.24 and 90,342.44

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Solution

The fourth proportional to 267,896.48, 401,565.24 and 90,342.44 is: 135,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,896.48 : 401,565.24 = 90,342.44 : x
  2. Step 2: Convert to fraction form
    267,896.48/401,565.24 = 90,342.44/x
  3. Step 3: Cross multiply
    267,896.48x = 401,565.24 × 90,342.44
  4. Step 4: Simplify right side
    267,896.48x = 36,278,383,600.79
  5. Step 5: Solve for x
    x = 36,278,383,600.79/267,896.48
  6. Step 6: Final answer
    x = 135,419.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.