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Finding the Fourth Proportional to 193,734.20, 267,319.50 and 108,854.84

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Solution

The fourth proportional to 193,734.20, 267,319.50 and 108,854.84 is: 150,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,734.20 : 267,319.50 = 108,854.84 : x
  2. Step 2: Convert to fraction form
    193,734.20/267,319.50 = 108,854.84/x
  3. Step 3: Cross multiply
    193,734.20x = 267,319.50 × 108,854.84
  4. Step 4: Simplify right side
    193,734.20x = 29,099,021,401.38
  5. Step 5: Solve for x
    x = 29,099,021,401.38/193,734.20
  6. Step 6: Final answer
    x = 150,200.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.