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Finding the Fourth Proportional to 199,672.75, 275,559.57 and 109,037.14

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Solution

The fourth proportional to 199,672.75, 275,559.57 and 109,037.14 is: 150,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672.75 : 275,559.57 = 109,037.14 : x
  2. Step 2: Convert to fraction form
    199,672.75/275,559.57 = 109,037.14/x
  3. Step 3: Cross multiply
    199,672.75x = 275,559.57 × 109,037.14
  4. Step 4: Simplify right side
    199,672.75x = 30,046,226,723.53
  5. Step 5: Solve for x
    x = 30,046,226,723.53/199,672.75
  6. Step 6: Final answer
    x = 150,477.36

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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.