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Finding the Fourth Proportional to 226,522.57, 339,760.47 and 76,758.97

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Solution

The fourth proportional to 226,522.57, 339,760.47 and 76,758.97 is: 115,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,522.57 : 339,760.47 = 76,758.97 : x
  2. Step 2: Convert to fraction form
    226,522.57/339,760.47 = 76,758.97/x
  3. Step 3: Cross multiply
    226,522.57x = 339,760.47 × 76,758.97
  4. Step 4: Simplify right side
    226,522.57x = 26,079,664,993.88
  5. Step 5: Solve for x
    x = 26,079,664,993.88/226,522.57
  6. Step 6: Final answer
    x = 115,130.54

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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.