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Finding the Fourth Proportional to 275,793.48, 413,554.01 and 161,969.85

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Solution

The fourth proportional to 275,793.48, 413,554.01 and 161,969.85 is: 242,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,793.48 : 413,554.01 = 161,969.85 : x
  2. Step 2: Convert to fraction form
    275,793.48/413,554.01 = 161,969.85/x
  3. Step 3: Cross multiply
    275,793.48x = 413,554.01 × 161,969.85
  4. Step 4: Simplify right side
    275,793.48x = 66,983,280,156.75
  5. Step 5: Solve for x
    x = 66,983,280,156.75/275,793.48
  6. Step 6: Final answer
    x = 242,874.78

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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.