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Finding the Fourth Proportional to 199,178.85, 274,847.13 and 117,505.38

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Solution

The fourth proportional to 199,178.85, 274,847.13 and 117,505.38 is: 162,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,178.85 : 274,847.13 = 117,505.38 : x
  2. Step 2: Convert to fraction form
    199,178.85/274,847.13 = 117,505.38/x
  3. Step 3: Cross multiply
    199,178.85x = 274,847.13 × 117,505.38
  4. Step 4: Simplify right side
    199,178.85x = 32,296,016,452.56
  5. Step 5: Solve for x
    x = 32,296,016,452.56/199,178.85
  6. Step 6: Final answer
    x = 162,145.81

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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.