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Finding the Fourth Proportional to 199,651.85, 275,420.12 and 119,022.56

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Solution

The fourth proportional to 199,651.85, 275,420.12 and 119,022.56 is: 164,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,651.85 : 275,420.12 = 119,022.56 : x
  2. Step 2: Convert to fraction form
    199,651.85/275,420.12 = 119,022.56/x
  3. Step 3: Cross multiply
    199,651.85x = 275,420.12 × 119,022.56
  4. Step 4: Simplify right side
    199,651.85x = 32,781,205,785.69
  5. Step 5: Solve for x
    x = 32,781,205,785.69/199,651.85
  6. Step 6: Final answer
    x = 164,191.85

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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.