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Finding the Fourth Proportional to 98,906.50, 136,490.97 and 54,193.54

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Solution

The fourth proportional to 98,906.50, 136,490.97 and 54,193.54 is: 74,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.50 : 136,490.97 = 54,193.54 : x
  2. Step 2: Convert to fraction form
    98,906.50/136,490.97 = 54,193.54/x
  3. Step 3: Cross multiply
    98,906.50x = 136,490.97 × 54,193.54
  4. Step 4: Simplify right side
    98,906.50x = 7,396,928,842.33
  5. Step 5: Solve for x
    x = 7,396,928,842.33/98,906.50
  6. Step 6: Final answer
    x = 74,787.09

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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.