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Finding the Fourth Proportional to 277,234.88, 382,584.08 and 149,910.56

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Solution

The fourth proportional to 277,234.88, 382,584.08 and 149,910.56 is: 206,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,234.88 : 382,584.08 = 149,910.56 : x
  2. Step 2: Convert to fraction form
    277,234.88/382,584.08 = 149,910.56/x
  3. Step 3: Cross multiply
    277,234.88x = 382,584.08 × 149,910.56
  4. Step 4: Simplify right side
    277,234.88x = 57,353,393,679.88
  5. Step 5: Solve for x
    x = 57,353,393,679.88/277,234.88
  6. Step 6: Final answer
    x = 206,876.54

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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.