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Finding the Fourth Proportional to 277,854.26, 416,781.39 and 67,490.78

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Solution

The fourth proportional to 277,854.26, 416,781.39 and 67,490.78 is: 101,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,854.26 : 416,781.39 = 67,490.78 : x
  2. Step 2: Convert to fraction form
    277,854.26/416,781.39 = 67,490.78/x
  3. Step 3: Cross multiply
    277,854.26x = 416,781.39 × 67,490.78
  4. Step 4: Simplify right side
    277,854.26x = 28,128,901,100.58
  5. Step 5: Solve for x
    x = 28,128,901,100.58/277,854.26
  6. Step 6: Final answer
    x = 101,236.17

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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.