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Finding the Fourth Proportional to 140,594.12, 194,010.25 and 80,167.31

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Solution

The fourth proportional to 140,594.12, 194,010.25 and 80,167.31 is: 110,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,594.12 : 194,010.25 = 80,167.31 : x
  2. Step 2: Convert to fraction form
    140,594.12/194,010.25 = 80,167.31/x
  3. Step 3: Cross multiply
    140,594.12x = 194,010.25 × 80,167.31
  4. Step 4: Simplify right side
    140,594.12x = 15,553,279,854.93
  5. Step 5: Solve for x
    x = 15,553,279,854.93/140,594.12
  6. Step 6: Final answer
    x = 110,625.39

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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.