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Finding the Fourth Proportional to 140,201.90, 193,481.55 and 76,542.38

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Solution

The fourth proportional to 140,201.90, 193,481.55 and 76,542.38 is: 105,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,201.90 : 193,481.55 = 76,542.38 : x
  2. Step 2: Convert to fraction form
    140,201.90/193,481.55 = 76,542.38/x
  3. Step 3: Cross multiply
    140,201.90x = 193,481.55 × 76,542.38
  4. Step 4: Simplify right side
    140,201.90x = 14,809,538,323.09
  5. Step 5: Solve for x
    x = 14,809,538,323.09/140,201.90
  6. Step 6: Final answer
    x = 105,630.08

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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.