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Finding the Fourth Proportional to 277,471.77, 382,912.05 and 150,147.36

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Solution

The fourth proportional to 277,471.77, 382,912.05 and 150,147.36 is: 207,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,471.77 : 382,912.05 = 150,147.36 : x
  2. Step 2: Convert to fraction form
    277,471.77/382,912.05 = 150,147.36/x
  3. Step 3: Cross multiply
    277,471.77x = 382,912.05 × 150,147.36
  4. Step 4: Simplify right side
    277,471.77x = 57,493,234,376.97
  5. Step 5: Solve for x
    x = 57,493,234,376.97/277,471.77
  6. Step 6: Final answer
    x = 207,203.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.