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Finding the Fourth Proportional to 178,062.44, 267,114.78 and 111,508.11

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Solution

The fourth proportional to 178,062.44, 267,114.78 and 111,508.11 is: 167,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,062.44 : 267,114.78 = 111,508.11 : x
  2. Step 2: Convert to fraction form
    178,062.44/267,114.78 = 111,508.11/x
  3. Step 3: Cross multiply
    178,062.44x = 267,114.78 × 111,508.11
  4. Step 4: Simplify right side
    178,062.44x = 29,785,464,270.87
  5. Step 5: Solve for x
    x = 29,785,464,270.87/178,062.44
  6. Step 6: Final answer
    x = 167,275.40

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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.