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Finding the Fourth Proportional to 100,456, 138,635.76 and 55,744

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Solution

The fourth proportional to 100,456, 138,635.76 and 55,744 is: 76,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456 : 138,635.76 = 55,744 : x
  2. Step 2: Convert to fraction form
    100,456/138,635.76 = 55,744/x
  3. Step 3: Cross multiply
    100,456x = 138,635.76 × 55,744
  4. Step 4: Simplify right side
    100,456x = 7,728,111,805.44
  5. Step 5: Solve for x
    x = 7,728,111,805.44/100,456
  6. Step 6: Final answer
    x = 76,930.32

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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.