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Finding the Fourth Proportional to 138,616.60, 194,456.90 and 138,616.60

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Solution

The fourth proportional to 138,616.60, 194,456.90 and 138,616.60 is: 194,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,616.60 : 194,456.90 = 138,616.60 : x
  2. Step 2: Convert to fraction form
    138,616.60/194,456.90 = 138,616.60/x
  3. Step 3: Cross multiply
    138,616.60x = 194,456.90 × 138,616.60
  4. Step 4: Simplify right side
    138,616.60x = 26,954,954,324.54
  5. Step 5: Solve for x
    x = 26,954,954,324.54/138,616.60
  6. Step 6: Final answer
    x = 194,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.