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Finding the Fourth Proportional to 268,154.01, 402,230.77 and 68,474.43

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Solution

The fourth proportional to 268,154.01, 402,230.77 and 68,474.43 is: 102,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,154.01 : 402,230.77 = 68,474.43 : x
  2. Step 2: Convert to fraction form
    268,154.01/402,230.77 = 68,474.43/x
  3. Step 3: Cross multiply
    268,154.01x = 402,230.77 × 68,474.43
  4. Step 4: Simplify right side
    268,154.01x = 27,542,522,704.21
  5. Step 5: Solve for x
    x = 27,542,522,704.21/268,154.01
  6. Step 6: Final answer
    x = 102,711.58

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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.