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Finding the Fourth Proportional to 192,102.56, 288,356.74 and 107,934.65

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Solution

The fourth proportional to 192,102.56, 288,356.74 and 107,934.65 is: 162,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102.56 : 288,356.74 = 107,934.65 : x
  2. Step 2: Convert to fraction form
    192,102.56/288,356.74 = 107,934.65/x
  3. Step 3: Cross multiply
    192,102.56x = 288,356.74 × 107,934.65
  4. Step 4: Simplify right side
    192,102.56x = 31,123,682,095.42
  5. Step 5: Solve for x
    x = 31,123,682,095.42/192,102.56
  6. Step 6: Final answer
    x = 162,015.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.