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Finding the Fourth Proportional to 199,057, 274,694.56 and 108,414.56

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Solution

The fourth proportional to 199,057, 274,694.56 and 108,414.56 is: 149,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,057 : 274,694.56 = 108,414.56 : x
  2. Step 2: Convert to fraction form
    199,057/274,694.56 = 108,414.56/x
  3. Step 3: Cross multiply
    199,057x = 274,694.56 × 108,414.56
  4. Step 4: Simplify right side
    199,057x = 29,780,888,899.02
  5. Step 5: Solve for x
    x = 29,780,888,899.02/199,057
  6. Step 6: Final answer
    x = 149,609.85

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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.