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Finding the Fourth Proportional to 111,306.80, 166,976.40 and 36,408.80

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Solution

The fourth proportional to 111,306.80, 166,976.40 and 36,408.80 is: 54,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,306.80 : 166,976.40 = 36,408.80 : x
  2. Step 2: Convert to fraction form
    111,306.80/166,976.40 = 36,408.80/x
  3. Step 3: Cross multiply
    111,306.80x = 166,976.40 × 36,408.80
  4. Step 4: Simplify right side
    111,306.80x = 6,079,410,352.32
  5. Step 5: Solve for x
    x = 6,079,410,352.32/111,306.80
  6. Step 6: Final answer
    x = 54,618.50

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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.