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Finding the Fourth Proportional to 226,940.80, 339,796.80 and 177,788.80

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Solution

The fourth proportional to 226,940.80, 339,796.80 and 177,788.80 is: 266,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,940.80 : 339,796.80 = 177,788.80 : x
  2. Step 2: Convert to fraction form
    226,940.80/339,796.80 = 177,788.80/x
  3. Step 3: Cross multiply
    226,940.80x = 339,796.80 × 177,788.80
  4. Step 4: Simplify right side
    226,940.80x = 60,412,065,315.84
  5. Step 5: Solve for x
    x = 60,412,065,315.84/226,940.80
  6. Step 6: Final answer
    x = 266,201.87

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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.