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Finding the Fourth Proportional to 178,194.52, 267,291.69 and 71,578.41

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Solution

The fourth proportional to 178,194.52, 267,291.69 and 71,578.41 is: 107,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,194.52 : 267,291.69 = 71,578.41 : x
  2. Step 2: Convert to fraction form
    178,194.52/267,291.69 = 71,578.41/x
  3. Step 3: Cross multiply
    178,194.52x = 267,291.69 × 71,578.41
  4. Step 4: Simplify right side
    178,194.52x = 19,132,314,176.41
  5. Step 5: Solve for x
    x = 19,132,314,176.41/178,194.52
  6. Step 6: Final answer
    x = 107,367.58

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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.