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Finding the Fourth Proportional to 274,548.55, 412,089.15 and 132,493.80

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Solution

The fourth proportional to 274,548.55, 412,089.15 and 132,493.80 is: 198,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,548.55 : 412,089.15 = 132,493.80 : x
  2. Step 2: Convert to fraction form
    274,548.55/412,089.15 = 132,493.80/x
  3. Step 3: Cross multiply
    274,548.55x = 412,089.15 × 132,493.80
  4. Step 4: Simplify right side
    274,548.55x = 54,599,257,187.54
  5. Step 5: Solve for x
    x = 54,599,257,187.54/274,548.55
  6. Step 6: Final answer
    x = 198,869.22

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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.