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Finding the Fourth Proportional to 140,220.39, 193,481.31 and 82,851.72

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Solution

The fourth proportional to 140,220.39, 193,481.31 and 82,851.72 is: 114,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,220.39 : 193,481.31 = 82,851.72 : x
  2. Step 2: Convert to fraction form
    140,220.39/193,481.31 = 82,851.72/x
  3. Step 3: Cross multiply
    140,220.39x = 193,481.31 × 82,851.72
  4. Step 4: Simplify right side
    140,220.39x = 16,030,259,321.35
  5. Step 5: Solve for x
    x = 16,030,259,321.35/140,220.39
  6. Step 6: Final answer
    x = 114,321.89

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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.