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Finding the Fourth Proportional to 277,934, 416,924.04 and 80,942

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Solution

The fourth proportional to 277,934, 416,924.04 and 80,942 is: 121,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,934 : 416,924.04 = 80,942 : x
  2. Step 2: Convert to fraction form
    277,934/416,924.04 = 80,942/x
  3. Step 3: Cross multiply
    277,934x = 416,924.04 × 80,942
  4. Step 4: Simplify right side
    277,934x = 33,746,665,645.68
  5. Step 5: Solve for x
    x = 33,746,665,645.68/277,934
  6. Step 6: Final answer
    x = 121,419.71

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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.