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Finding the Fourth Proportional to 193,995.82, 267,711.64 and 109,112.88

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Solution

The fourth proportional to 193,995.82, 267,711.64 and 109,112.88 is: 150,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,995.82 : 267,711.64 = 109,112.88 : x
  2. Step 2: Convert to fraction form
    193,995.82/267,711.64 = 109,112.88/x
  3. Step 3: Cross multiply
    193,995.82x = 267,711.64 × 109,112.88
  4. Step 4: Simplify right side
    193,995.82x = 29,210,788,049.92
  5. Step 5: Solve for x
    x = 29,210,788,049.92/193,995.82
  6. Step 6: Final answer
    x = 150,574.32

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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.