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Finding the Fourth Proportional to 133,180, 199,799.16 and 50,074

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Solution

The fourth proportional to 133,180, 199,799.16 and 50,074 is: 75,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,180 : 199,799.16 = 50,074 : x
  2. Step 2: Convert to fraction form
    133,180/199,799.16 = 50,074/x
  3. Step 3: Cross multiply
    133,180x = 199,799.16 × 50,074
  4. Step 4: Simplify right side
    133,180x = 10,004,743,137.84
  5. Step 5: Solve for x
    x = 10,004,743,137.84/133,180
  6. Step 6: Final answer
    x = 75,121.96

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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.