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Finding the Fourth Proportional to 199,759.96, 275,665.96 and 109,114.84

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Solution

The fourth proportional to 199,759.96, 275,665.96 and 109,114.84 is: 150,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,759.96 : 275,665.96 = 109,114.84 : x
  2. Step 2: Convert to fraction form
    199,759.96/275,665.96 = 109,114.84/x
  3. Step 3: Cross multiply
    199,759.96x = 275,665.96 × 109,114.84
  4. Step 4: Simplify right side
    199,759.96x = 30,079,247,118.85
  5. Step 5: Solve for x
    x = 30,079,247,118.85/199,759.96
  6. Step 6: Final answer
    x = 150,576.96

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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.