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Finding the Fourth Proportional to 274,551.31, 412,093.27 and 132,496.56

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Solution

The fourth proportional to 274,551.31, 412,093.27 and 132,496.56 is: 198,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,551.31 : 412,093.27 = 132,496.56 : x
  2. Step 2: Convert to fraction form
    274,551.31/412,093.27 = 132,496.56/x
  3. Step 3: Cross multiply
    274,551.31x = 412,093.27 × 132,496.56
  4. Step 4: Simplify right side
    274,551.31x = 54,600,938,613.68
  5. Step 5: Solve for x
    x = 54,600,938,613.68/274,551.31
  6. Step 6: Final answer
    x = 198,873.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.