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Finding the Fourth Proportional to 133,815.28, 200,723.01 and 33,982.96

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Solution

The fourth proportional to 133,815.28, 200,723.01 and 33,982.96 is: 50,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.28 : 200,723.01 = 33,982.96 : x
  2. Step 2: Convert to fraction form
    133,815.28/200,723.01 = 33,982.96/x
  3. Step 3: Cross multiply
    133,815.28x = 200,723.01 × 33,982.96
  4. Step 4: Simplify right side
    133,815.28x = 6,821,162,019.91
  5. Step 5: Solve for x
    x = 6,821,162,019.91/133,815.28
  6. Step 6: Final answer
    x = 50,974.46

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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.