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Finding the Fourth Proportional to 277,517.88, 416,201.22 and 77,825.88

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Solution

The fourth proportional to 277,517.88, 416,201.22 and 77,825.88 is: 116,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,517.88 : 416,201.22 = 77,825.88 : x
  2. Step 2: Convert to fraction form
    277,517.88/416,201.22 = 77,825.88/x
  3. Step 3: Cross multiply
    277,517.88x = 416,201.22 × 77,825.88
  4. Step 4: Simplify right side
    277,517.88x = 32,391,226,203.57
  5. Step 5: Solve for x
    x = 32,391,226,203.57/277,517.88
  6. Step 6: Final answer
    x = 116,717.62

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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.