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Finding the Fourth Proportional to 192,067.80, 288,063.30 and 92,227.80

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Solution

The fourth proportional to 192,067.80, 288,063.30 and 92,227.80 is: 138,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,067.80 : 288,063.30 = 92,227.80 : x
  2. Step 2: Convert to fraction form
    192,067.80/288,063.30 = 92,227.80/x
  3. Step 3: Cross multiply
    192,067.80x = 288,063.30 × 92,227.80
  4. Step 4: Simplify right side
    192,067.80x = 26,567,444,419.74
  5. Step 5: Solve for x
    x = 26,567,444,419.74/192,067.80
  6. Step 6: Final answer
    x = 138,323.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.