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Finding the Fourth Proportional to 277,593.20, 416,584.20 and 119,934.80

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Solution

The fourth proportional to 277,593.20, 416,584.20 and 119,934.80 is: 179,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,593.20 : 416,584.20 = 119,934.80 : x
  2. Step 2: Convert to fraction form
    277,593.20/416,584.20 = 119,934.80/x
  3. Step 3: Cross multiply
    277,593.20x = 416,584.20 × 119,934.80
  4. Step 4: Simplify right side
    277,593.20x = 49,962,942,710.16
  5. Step 5: Solve for x
    x = 49,962,942,710.16/277,593.20
  6. Step 6: Final answer
    x = 179,986.19

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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.