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Finding the Fourth Proportional to 106,481.91, 146,945.15 and 61,168.65

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Solution

The fourth proportional to 106,481.91, 146,945.15 and 61,168.65 is: 84,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481.91 : 146,945.15 = 61,168.65 : x
  2. Step 2: Convert to fraction form
    106,481.91/146,945.15 = 61,168.65/x
  3. Step 3: Cross multiply
    106,481.91x = 146,945.15 × 61,168.65
  4. Step 4: Simplify right side
    106,481.91x = 8,988,436,143.70
  5. Step 5: Solve for x
    x = 8,988,436,143.70/106,481.91
  6. Step 6: Final answer
    x = 84,412.80

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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.