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Finding the Fourth Proportional to 178,668.78, 267,751.19 and 98,742.74

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Solution

The fourth proportional to 178,668.78, 267,751.19 and 98,742.74 is: 147,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,668.78 : 267,751.19 = 98,742.74 : x
  2. Step 2: Convert to fraction form
    178,668.78/267,751.19 = 98,742.74/x
  3. Step 3: Cross multiply
    178,668.78x = 267,751.19 × 98,742.74
  4. Step 4: Simplify right side
    178,668.78x = 26,438,485,046.96
  5. Step 5: Solve for x
    x = 26,438,485,046.96/178,668.78
  6. Step 6: Final answer
    x = 147,974.85

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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.