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Finding the Fourth Proportional to 178,112.85, 267,086.22 and 103,254.42

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Solution

The fourth proportional to 178,112.85, 267,086.22 and 103,254.42 is: 154,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,112.85 : 267,086.22 = 103,254.42 : x
  2. Step 2: Convert to fraction form
    178,112.85/267,086.22 = 103,254.42/x
  3. Step 3: Cross multiply
    178,112.85x = 267,086.22 × 103,254.42
  4. Step 4: Simplify right side
    178,112.85x = 27,577,832,736.09
  5. Step 5: Solve for x
    x = 27,577,832,736.09/178,112.85
  6. Step 6: Final answer
    x = 154,833.48

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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.