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Finding the Fourth Proportional to 277,708.62, 416,476.83 and 100,192.56

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Solution

The fourth proportional to 277,708.62, 416,476.83 and 100,192.56 is: 150,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,708.62 : 416,476.83 = 100,192.56 : x
  2. Step 2: Convert to fraction form
    277,708.62/416,476.83 = 100,192.56/x
  3. Step 3: Cross multiply
    277,708.62x = 416,476.83 × 100,192.56
  4. Step 4: Simplify right side
    277,708.62x = 41,727,879,778.38
  5. Step 5: Solve for x
    x = 41,727,879,778.38/277,708.62
  6. Step 6: Final answer
    x = 150,257.78

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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.