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Finding the Fourth Proportional to 178,198.62, 267,301.56 and 65,820.96

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Solution

The fourth proportional to 178,198.62, 267,301.56 and 65,820.96 is: 98,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.62 : 267,301.56 = 65,820.96 : x
  2. Step 2: Convert to fraction form
    178,198.62/267,301.56 = 65,820.96/x
  3. Step 3: Cross multiply
    178,198.62x = 267,301.56 × 65,820.96
  4. Step 4: Simplify right side
    178,198.62x = 17,594,045,288.70
  5. Step 5: Solve for x
    x = 17,594,045,288.70/178,198.62
  6. Step 6: Final answer
    x = 98,732.78

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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.