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Finding the Fourth Proportional to 226,735.60, 339,811.80 and 137,894.80

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Solution

The fourth proportional to 226,735.60, 339,811.80 and 137,894.80 is: 206,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,735.60 : 339,811.80 = 137,894.80 : x
  2. Step 2: Convert to fraction form
    226,735.60/339,811.80 = 137,894.80/x
  3. Step 3: Cross multiply
    226,735.60x = 339,811.80 × 137,894.80
  4. Step 4: Simplify right side
    226,735.60x = 46,858,280,198.64
  5. Step 5: Solve for x
    x = 46,858,280,198.64/226,735.60
  6. Step 6: Final answer
    x = 206,664.86

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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.