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Finding the Fourth Proportional to 133,814.78, 200,722.26 and 33,982.46

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Solution

The fourth proportional to 133,814.78, 200,722.26 and 33,982.46 is: 50,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.78 : 200,722.26 = 33,982.46 : x
  2. Step 2: Convert to fraction form
    133,814.78/200,722.26 = 33,982.46/x
  3. Step 3: Cross multiply
    133,814.78x = 200,722.26 × 33,982.46
  4. Step 4: Simplify right side
    133,814.78x = 6,821,036,171.56
  5. Step 5: Solve for x
    x = 6,821,036,171.56/133,814.78
  6. Step 6: Final answer
    x = 50,973.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.