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Finding the Fourth Proportional to 275,793.54, 413,588.13 and 98,253.42

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Solution

The fourth proportional to 275,793.54, 413,588.13 and 98,253.42 is: 147,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,793.54 : 413,588.13 = 98,253.42 : x
  2. Step 2: Convert to fraction form
    275,793.54/413,588.13 = 98,253.42/x
  3. Step 3: Cross multiply
    275,793.54x = 413,588.13 × 98,253.42
  4. Step 4: Simplify right side
    275,793.54x = 40,636,448,243.90
  5. Step 5: Solve for x
    x = 40,636,448,243.90/275,793.54
  6. Step 6: Final answer
    x = 147,343.73

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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.