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Finding the Fourth Proportional to 277,187.78, 382,519.72 and 149,863.37

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Solution

The fourth proportional to 277,187.78, 382,519.72 and 149,863.37 is: 206,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,187.78 : 382,519.72 = 149,863.37 : x
  2. Step 2: Convert to fraction form
    277,187.78/382,519.72 = 149,863.37/x
  3. Step 3: Cross multiply
    277,187.78x = 382,519.72 × 149,863.37
  4. Step 4: Simplify right side
    277,187.78x = 57,325,694,330.66
  5. Step 5: Solve for x
    x = 57,325,694,330.66/277,187.78
  6. Step 6: Final answer
    x = 206,811.77

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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.