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Finding the Fourth Proportional to 226,135, 339,225.72 and 59,923

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Solution

The fourth proportional to 226,135, 339,225.72 and 59,923 is: 89,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,135 : 339,225.72 = 59,923 : x
  2. Step 2: Convert to fraction form
    226,135/339,225.72 = 59,923/x
  3. Step 3: Cross multiply
    226,135x = 339,225.72 × 59,923
  4. Step 4: Simplify right side
    226,135x = 20,327,422,819.56
  5. Step 5: Solve for x
    x = 20,327,422,819.56/226,135
  6. Step 6: Final answer
    x = 89,890.65

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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.