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Finding the Fourth Proportional to 140,523.54, 193,923.99 and 76,859.97

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Solution

The fourth proportional to 140,523.54, 193,923.99 and 76,859.97 is: 106,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.54 : 193,923.99 = 76,859.97 : x
  2. Step 2: Convert to fraction form
    140,523.54/193,923.99 = 76,859.97/x
  3. Step 3: Cross multiply
    140,523.54x = 193,923.99 × 76,859.97
  4. Step 4: Simplify right side
    140,523.54x = 14,904,992,053.68
  5. Step 5: Solve for x
    x = 14,904,992,053.68/140,523.54
  6. Step 6: Final answer
    x = 106,067.58

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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.