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Finding the Fourth Proportional to 267,169.92, 400,781.64 and 98,734.50

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Solution

The fourth proportional to 267,169.92, 400,781.64 and 98,734.50 is: 148,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,169.92 : 400,781.64 = 98,734.50 : x
  2. Step 2: Convert to fraction form
    267,169.92/400,781.64 = 98,734.50/x
  3. Step 3: Cross multiply
    267,169.92x = 400,781.64 × 98,734.50
  4. Step 4: Simplify right side
    267,169.92x = 39,570,974,834.58
  5. Step 5: Solve for x
    x = 39,570,974,834.58/267,169.92
  6. Step 6: Final answer
    x = 148,111.64

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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.