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Finding the Fourth Proportional to 263,853.44, 395,741.96 and 86,367.52

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Solution

The fourth proportional to 263,853.44, 395,741.96 and 86,367.52 is: 129,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,853.44 : 395,741.96 = 86,367.52 : x
  2. Step 2: Convert to fraction form
    263,853.44/395,741.96 = 86,367.52/x
  3. Step 3: Cross multiply
    263,853.44x = 395,741.96 × 86,367.52
  4. Step 4: Simplify right side
    263,853.44x = 34,179,251,645.14
  5. Step 5: Solve for x
    x = 34,179,251,645.14/263,853.44
  6. Step 6: Final answer
    x = 129,538.78

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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.