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Finding the Fourth Proportional to 271,786.56, 407,702.97 and 82,248.54

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Solution

The fourth proportional to 271,786.56, 407,702.97 and 82,248.54 is: 123,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,786.56 : 407,702.97 = 82,248.54 : x
  2. Step 2: Convert to fraction form
    271,786.56/407,702.97 = 82,248.54/x
  3. Step 3: Cross multiply
    271,786.56x = 407,702.97 × 82,248.54
  4. Step 4: Simplify right side
    271,786.56x = 33,532,974,036.16
  5. Step 5: Solve for x
    x = 33,532,974,036.16/271,786.56
  6. Step 6: Final answer
    x = 123,379.81

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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.