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Finding the Fourth Proportional to 185,542.31, 256,048.88 and 100,659.38

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Solution

The fourth proportional to 185,542.31, 256,048.88 and 100,659.38 is: 138,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,542.31 : 256,048.88 = 100,659.38 : x
  2. Step 2: Convert to fraction form
    185,542.31/256,048.88 = 100,659.38/x
  3. Step 3: Cross multiply
    185,542.31x = 256,048.88 × 100,659.38
  4. Step 4: Simplify right side
    185,542.31x = 25,773,720,481.90
  5. Step 5: Solve for x
    x = 25,773,720,481.90/185,542.31
  6. Step 6: Final answer
    x = 138,910.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.