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Finding the Fourth Proportional to 105,846.38, 146,067.45 and 58,100.54

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Solution

The fourth proportional to 105,846.38, 146,067.45 and 58,100.54 is: 80,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846.38 : 146,067.45 = 58,100.54 : x
  2. Step 2: Convert to fraction form
    105,846.38/146,067.45 = 58,100.54/x
  3. Step 3: Cross multiply
    105,846.38x = 146,067.45 × 58,100.54
  4. Step 4: Simplify right side
    105,846.38x = 8,486,597,721.42
  5. Step 5: Solve for x
    x = 8,486,597,721.42/105,846.38
  6. Step 6: Final answer
    x = 80,178.44

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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.