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Finding the Fourth Proportional to 267,165.42, 400,774.86 and 98,729.97

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Solution

The fourth proportional to 267,165.42, 400,774.86 and 98,729.97 is: 148,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,165.42 : 400,774.86 = 98,729.97 : x
  2. Step 2: Convert to fraction form
    267,165.42/400,774.86 = 98,729.97/x
  3. Step 3: Cross multiply
    267,165.42x = 400,774.86 × 98,729.97
  4. Step 4: Simplify right side
    267,165.42x = 39,568,489,904.55
  5. Step 5: Solve for x
    x = 39,568,489,904.55/267,165.42
  6. Step 6: Final answer
    x = 148,104.83

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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.