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Finding the Fourth Proportional to 105,891.24, 146,131.62 and 58,149

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Solution

The fourth proportional to 105,891.24, 146,131.62 and 58,149 is: 80,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.24 : 146,131.62 = 58,149 : x
  2. Step 2: Convert to fraction form
    105,891.24/146,131.62 = 58,149/x
  3. Step 3: Cross multiply
    105,891.24x = 146,131.62 × 58,149
  4. Step 4: Simplify right side
    105,891.24x = 8,497,407,571.38
  5. Step 5: Solve for x
    x = 8,497,407,571.38/105,891.24
  6. Step 6: Final answer
    x = 80,246.56

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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.