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Finding the Fourth Proportional to 268,134.26, 402,201.02 and 68,454.63

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Solution

The fourth proportional to 268,134.26, 402,201.02 and 68,454.63 is: 102,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,134.26 : 402,201.02 = 68,454.63 : x
  2. Step 2: Convert to fraction form
    268,134.26/402,201.02 = 68,454.63/x
  3. Step 3: Cross multiply
    268,134.26x = 402,201.02 × 68,454.63
  4. Step 4: Simplify right side
    268,134.26x = 27,532,522,180.86
  5. Step 5: Solve for x
    x = 27,532,522,180.86/268,134.26
  6. Step 6: Final answer
    x = 102,681.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.