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Finding the Fourth Proportional to 178,557.26, 267,734.32 and 138,016.40

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Solution

The fourth proportional to 178,557.26, 267,734.32 and 138,016.40 is: 206,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,557.26 : 267,734.32 = 138,016.40 : x
  2. Step 2: Convert to fraction form
    178,557.26/267,734.32 = 138,016.40/x
  3. Step 3: Cross multiply
    178,557.26x = 267,734.32 × 138,016.40
  4. Step 4: Simplify right side
    178,557.26x = 36,951,725,319.14
  5. Step 5: Solve for x
    x = 36,951,725,319.14/178,557.26
  6. Step 6: Final answer
    x = 206,946.09

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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.