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Finding the Fourth Proportional to 199,461.44, 275,257.56 and 108,819.44

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Solution

The fourth proportional to 199,461.44, 275,257.56 and 108,819.44 is: 150,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,461.44 : 275,257.56 = 108,819.44 : x
  2. Step 2: Convert to fraction form
    199,461.44/275,257.56 = 108,819.44/x
  3. Step 3: Cross multiply
    199,461.44x = 275,257.56 × 108,819.44
  4. Step 4: Simplify right side
    199,461.44x = 29,953,373,534.97
  5. Step 5: Solve for x
    x = 29,953,373,534.97/199,461.44
  6. Step 6: Final answer
    x = 150,171.25

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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.