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Finding the Fourth Proportional to 133,471.06, 200,067.10 and 44,651.50

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Solution

The fourth proportional to 133,471.06, 200,067.10 and 44,651.50 is: 66,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,471.06 : 200,067.10 = 44,651.50 : x
  2. Step 2: Convert to fraction form
    133,471.06/200,067.10 = 44,651.50/x
  3. Step 3: Cross multiply
    133,471.06x = 200,067.10 × 44,651.50
  4. Step 4: Simplify right side
    133,471.06x = 8,933,296,115.65
  5. Step 5: Solve for x
    x = 8,933,296,115.65/133,471.06
  6. Step 6: Final answer
    x = 66,930.58

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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.