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Finding the Fourth Proportional to 226,396.76, 339,575.56 and 76,633.84

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Solution

The fourth proportional to 226,396.76, 339,575.56 and 76,633.84 is: 114,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,396.76 : 339,575.56 = 76,633.84 : x
  2. Step 2: Convert to fraction form
    226,396.76/339,575.56 = 76,633.84/x
  3. Step 3: Cross multiply
    226,396.76x = 339,575.56 × 76,633.84
  4. Step 4: Simplify right side
    226,396.76x = 26,022,979,132.95
  5. Step 5: Solve for x
    x = 26,022,979,132.95/226,396.76
  6. Step 6: Final answer
    x = 114,944.13

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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.