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Finding the Fourth Proportional to 121,760.41, 167,920.57 and 76,442.61

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Solution

The fourth proportional to 121,760.41, 167,920.57 and 76,442.61 is: 105,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,760.41 : 167,920.57 = 76,442.61 : x
  2. Step 2: Convert to fraction form
    121,760.41/167,920.57 = 76,442.61/x
  3. Step 3: Cross multiply
    121,760.41x = 167,920.57 × 76,442.61
  4. Step 4: Simplify right side
    121,760.41x = 12,836,286,452.38
  5. Step 5: Solve for x
    x = 12,836,286,452.38/121,760.41
  6. Step 6: Final answer
    x = 105,422.50

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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.