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Finding the Fourth Proportional to 275,180.48, 412,789.92 and 108,968

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Solution

The fourth proportional to 275,180.48, 412,789.92 and 108,968 is: 163,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,180.48 : 412,789.92 = 108,968 : x
  2. Step 2: Convert to fraction form
    275,180.48/412,789.92 = 108,968/x
  3. Step 3: Cross multiply
    275,180.48x = 412,789.92 × 108,968
  4. Step 4: Simplify right side
    275,180.48x = 44,980,892,002.56
  5. Step 5: Solve for x
    x = 44,980,892,002.56/275,180.48
  6. Step 6: Final answer
    x = 163,459.60

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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.