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Finding the Fourth Proportional to 226,238.27, 339,358.01 and 76,438.49

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Solution

The fourth proportional to 226,238.27, 339,358.01 and 76,438.49 is: 114,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,238.27 : 339,358.01 = 76,438.49 : x
  2. Step 2: Convert to fraction form
    226,238.27/339,358.01 = 76,438.49/x
  3. Step 3: Cross multiply
    226,238.27x = 339,358.01 × 76,438.49
  4. Step 4: Simplify right side
    226,238.27x = 25,940,011,774.82
  5. Step 5: Solve for x
    x = 25,940,011,774.82/226,238.27
  6. Step 6: Final answer
    x = 114,657.93

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