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Finding the Fourth Proportional to 100,206.18, 150,311.70 and 33,648.48

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Solution

The fourth proportional to 100,206.18, 150,311.70 and 33,648.48 is: 50,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.18 : 150,311.70 = 33,648.48 : x
  2. Step 2: Convert to fraction form
    100,206.18/150,311.70 = 33,648.48/x
  3. Step 3: Cross multiply
    100,206.18x = 150,311.70 × 33,648.48
  4. Step 4: Simplify right side
    100,206.18x = 5,057,760,231.22
  5. Step 5: Solve for x
    x = 5,057,760,231.22/100,206.18
  6. Step 6: Final answer
    x = 50,473.54

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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.