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Finding the Fourth Proportional to 363,167.96, 501,183.80 and 199,843.14

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Solution

The fourth proportional to 363,167.96, 501,183.80 and 199,843.14 is: 275,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,167.96 : 501,183.80 = 199,843.14 : x
  2. Step 2: Convert to fraction form
    363,167.96/501,183.80 = 199,843.14/x
  3. Step 3: Cross multiply
    363,167.96x = 501,183.80 × 199,843.14
  4. Step 4: Simplify right side
    363,167.96x = 100,158,143,967.13
  5. Step 5: Solve for x
    x = 100,158,143,967.13/363,167.96
  6. Step 6: Final answer
    x = 275,790.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.