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Finding the Fourth Proportional to 268,934.60, 403,401.90 and 137,862.60

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Solution

The fourth proportional to 268,934.60, 403,401.90 and 137,862.60 is: 206,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,934.60 : 403,401.90 = 137,862.60 : x
  2. Step 2: Convert to fraction form
    268,934.60/403,401.90 = 137,862.60/x
  3. Step 3: Cross multiply
    268,934.60x = 403,401.90 × 137,862.60
  4. Step 4: Simplify right side
    268,934.60x = 55,614,034,778.94
  5. Step 5: Solve for x
    x = 55,614,034,778.94/268,934.60
  6. Step 6: Final answer
    x = 206,793.90

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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.