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Finding the Fourth Proportional to 178,342.71, 267,436.24 and 67,456.95

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Solution

The fourth proportional to 178,342.71, 267,436.24 and 67,456.95 is: 101,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,342.71 : 267,436.24 = 67,456.95 : x
  2. Step 2: Convert to fraction form
    178,342.71/267,436.24 = 67,456.95/x
  3. Step 3: Cross multiply
    178,342.71x = 267,436.24 × 67,456.95
  4. Step 4: Simplify right side
    178,342.71x = 18,040,433,069.87
  5. Step 5: Solve for x
    x = 18,040,433,069.87/178,342.71
  6. Step 6: Final answer
    x = 101,155.99

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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.