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Finding the Fourth Proportional to 277,694.82, 416,261.79 and 109,333.31

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Solution

The fourth proportional to 277,694.82, 416,261.79 and 109,333.31 is: 163,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,694.82 : 416,261.79 = 109,333.31 : x
  2. Step 2: Convert to fraction form
    277,694.82/416,261.79 = 109,333.31/x
  3. Step 3: Cross multiply
    277,694.82x = 416,261.79 × 109,333.31
  4. Step 4: Simplify right side
    277,694.82x = 45,511,277,245.92
  5. Step 5: Solve for x
    x = 45,511,277,245.92/277,694.82
  6. Step 6: Final answer
    x = 163,889.54

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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.