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Finding the Fourth Proportional to 102,854.44, 141,891.78 and 71,067.88

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Solution

The fourth proportional to 102,854.44, 141,891.78 and 71,067.88 is: 98,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.44 : 141,891.78 = 71,067.88 : x
  2. Step 2: Convert to fraction form
    102,854.44/141,891.78 = 71,067.88/x
  3. Step 3: Cross multiply
    102,854.44x = 141,891.78 × 71,067.88
  4. Step 4: Simplify right side
    102,854.44x = 10,083,947,994.03
  5. Step 5: Solve for x
    x = 10,083,947,994.03/102,854.44
  6. Step 6: Final answer
    x = 98,040.96

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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.