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Finding the Fourth Proportional to 192,691.38, 265,914.42 and 107,808.50

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Solution

The fourth proportional to 192,691.38, 265,914.42 and 107,808.50 is: 148,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,691.38 : 265,914.42 = 107,808.50 : x
  2. Step 2: Convert to fraction form
    192,691.38/265,914.42 = 107,808.50/x
  3. Step 3: Cross multiply
    192,691.38x = 265,914.42 × 107,808.50
  4. Step 4: Simplify right side
    192,691.38x = 28,667,834,748.57
  5. Step 5: Solve for x
    x = 28,667,834,748.57/192,691.38
  6. Step 6: Final answer
    x = 148,775.91

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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.