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Finding the Fourth Proportional to 277,474.78, 416,212.37 and 67,112.92

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Solution

The fourth proportional to 277,474.78, 416,212.37 and 67,112.92 is: 100,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,474.78 : 416,212.37 = 67,112.92 : x
  2. Step 2: Convert to fraction form
    277,474.78/416,212.37 = 67,112.92/x
  3. Step 3: Cross multiply
    277,474.78x = 416,212.37 × 67,112.92
  4. Step 4: Simplify right side
    277,474.78x = 27,933,227,490.82
  5. Step 5: Solve for x
    x = 27,933,227,490.82/277,474.78
  6. Step 6: Final answer
    x = 100,669.43

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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.