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Finding the Fourth Proportional to 193,952.82, 267,656.52 and 109,069.14

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Solution

The fourth proportional to 193,952.82, 267,656.52 and 109,069.14 is: 150,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,952.82 : 267,656.52 = 109,069.14 : x
  2. Step 2: Convert to fraction form
    193,952.82/267,656.52 = 109,069.14/x
  3. Step 3: Cross multiply
    193,952.82x = 267,656.52 × 109,069.14
  4. Step 4: Simplify right side
    193,952.82x = 29,193,066,451.79
  5. Step 5: Solve for x
    x = 29,193,066,451.79/193,952.82
  6. Step 6: Final answer
    x = 150,516.33

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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.