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Finding the Fourth Proportional to 277,583.13, 416,375.78 and 67,221.27

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Solution

The fourth proportional to 277,583.13, 416,375.78 and 67,221.27 is: 100,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583.13 : 416,375.78 = 67,221.27 : x
  2. Step 2: Convert to fraction form
    277,583.13/416,375.78 = 67,221.27/x
  3. Step 3: Cross multiply
    277,583.13x = 416,375.78 × 67,221.27
  4. Step 4: Simplify right side
    277,583.13x = 27,989,308,392.73
  5. Step 5: Solve for x
    x = 27,989,308,392.73/277,583.13
  6. Step 6: Final answer
    x = 100,832.17

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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.