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Finding the Fourth Proportional to 226,765.60, 339,856.80 and 137,924.80

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Solution

The fourth proportional to 226,765.60, 339,856.80 and 137,924.80 is: 206,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,765.60 : 339,856.80 = 137,924.80 : x
  2. Step 2: Convert to fraction form
    226,765.60/339,856.80 = 137,924.80/x
  3. Step 3: Cross multiply
    226,765.60x = 339,856.80 × 137,924.80
  4. Step 4: Simplify right side
    226,765.60x = 46,874,681,168.64
  5. Step 5: Solve for x
    x = 46,874,681,168.64/226,765.60
  6. Step 6: Final answer
    x = 206,709.84

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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.