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Finding the Fourth Proportional to 275,181.48, 412,791.42 and 108,969

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Solution

The fourth proportional to 275,181.48, 412,791.42 and 108,969 is: 163,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,181.48 : 412,791.42 = 108,969 : x
  2. Step 2: Convert to fraction form
    275,181.48/412,791.42 = 108,969/x
  3. Step 3: Cross multiply
    275,181.48x = 412,791.42 × 108,969
  4. Step 4: Simplify right side
    275,181.48x = 44,981,468,245.98
  5. Step 5: Solve for x
    x = 44,981,468,245.98/275,181.48
  6. Step 6: Final answer
    x = 163,461.10

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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.