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Finding the Fourth Proportional to 275,999.10, 413,998.65 and 195,819.90

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Solution

The fourth proportional to 275,999.10, 413,998.65 and 195,819.90 is: 293,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,999.10 : 413,998.65 = 195,819.90 : x
  2. Step 2: Convert to fraction form
    275,999.10/413,998.65 = 195,819.90/x
  3. Step 3: Cross multiply
    275,999.10x = 413,998.65 × 195,819.90
  4. Step 4: Simplify right side
    275,999.10x = 81,069,174,243.14
  5. Step 5: Solve for x
    x = 81,069,174,243.14/275,999.10
  6. Step 6: Final answer
    x = 293,729.85

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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.