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Finding the Fourth Proportional to 226,932.80, 339,784.80 and 177,780.80

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Solution

The fourth proportional to 226,932.80, 339,784.80 and 177,780.80 is: 266,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,932.80 : 339,784.80 = 177,780.80 : x
  2. Step 2: Convert to fraction form
    226,932.80/339,784.80 = 177,780.80/x
  3. Step 3: Cross multiply
    226,932.80x = 339,784.80 × 177,780.80
  4. Step 4: Simplify right side
    226,932.80x = 60,407,213,571.84
  5. Step 5: Solve for x
    x = 60,407,213,571.84/226,932.80
  6. Step 6: Final answer
    x = 266,189.87

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1.5x scale

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.