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Finding the Fourth Proportional to 100,576.92, 138,796.20 and 55,257.82

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Solution

The fourth proportional to 100,576.92, 138,796.20 and 55,257.82 is: 76,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.92 : 138,796.20 = 55,257.82 : x
  2. Step 2: Convert to fraction form
    100,576.92/138,796.20 = 55,257.82/x
  3. Step 3: Cross multiply
    100,576.92x = 138,796.20 × 55,257.82
  4. Step 4: Simplify right side
    100,576.92x = 7,669,575,436.28
  5. Step 5: Solve for x
    x = 7,669,575,436.28/100,576.92
  6. Step 6: Final answer
    x = 76,255.82

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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.