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Finding the Fourth Proportional to 263,751.12, 395,691.48 and 76,764.24

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Solution

The fourth proportional to 263,751.12, 395,691.48 and 76,764.24 is: 115,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,751.12 : 395,691.48 = 76,764.24 : x
  2. Step 2: Convert to fraction form
    263,751.12/395,691.48 = 76,764.24/x
  3. Step 3: Cross multiply
    263,751.12x = 395,691.48 × 76,764.24
  4. Step 4: Simplify right side
    263,751.12x = 30,374,955,736.68
  5. Step 5: Solve for x
    x = 30,374,955,736.68/263,751.12
  6. Step 6: Final answer
    x = 115,165.22

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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.