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Finding the Fourth Proportional to 193,950, 267,621.84 and 109,065.24

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Solution

The fourth proportional to 193,950, 267,621.84 and 109,065.24 is: 150,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,950 : 267,621.84 = 109,065.24 : x
  2. Step 2: Convert to fraction form
    193,950/267,621.84 = 109,065.24/x
  3. Step 3: Cross multiply
    193,950x = 267,621.84 × 109,065.24
  4. Step 4: Simplify right side
    193,950x = 29,188,240,208.84
  5. Step 5: Solve for x
    x = 29,188,240,208.84/193,950
  6. Step 6: Final answer
    x = 150,493.63

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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.