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Finding the Fourth Proportional to 226,503.90, 339,974.55 and 137,930.40

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Solution

The fourth proportional to 226,503.90, 339,974.55 and 137,930.40 is: 207,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,503.90 : 339,974.55 = 137,930.40 : x
  2. Step 2: Convert to fraction form
    226,503.90/339,974.55 = 137,930.40/x
  3. Step 3: Cross multiply
    226,503.90x = 339,974.55 × 137,930.40
  4. Step 4: Simplify right side
    226,503.90x = 46,892,825,671.32
  5. Step 5: Solve for x
    x = 46,892,825,671.32/226,503.90
  6. Step 6: Final answer
    x = 207,028.78

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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.