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Finding the Fourth Proportional to 178,252.11, 267,198.14 and 111,738.86

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Solution

The fourth proportional to 178,252.11, 267,198.14 and 111,738.86 is: 167,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252.11 : 267,198.14 = 111,738.86 : x
  2. Step 2: Convert to fraction form
    178,252.11/267,198.14 = 111,738.86/x
  3. Step 3: Cross multiply
    178,252.11x = 267,198.14 × 111,738.86
  4. Step 4: Simplify right side
    178,252.11x = 29,856,415,503.07
  5. Step 5: Solve for x
    x = 29,856,415,503.07/178,252.11
  6. Step 6: Final answer
    x = 167,495.44

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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.