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Finding the Fourth Proportional to 106,041.88, 146,279.90 and 65,183.80

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Solution

The fourth proportional to 106,041.88, 146,279.90 and 65,183.80 is: 89,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,041.88 : 146,279.90 = 65,183.80 : x
  2. Step 2: Convert to fraction form
    106,041.88/146,279.90 = 65,183.80/x
  3. Step 3: Cross multiply
    106,041.88x = 146,279.90 × 65,183.80
  4. Step 4: Simplify right side
    106,041.88x = 9,535,079,745.62
  5. Step 5: Solve for x
    x = 9,535,079,745.62/106,041.88
  6. Step 6: Final answer
    x = 89,918.06

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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.