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Finding the Fourth Proportional to 100,204.36, 150,313.02 and 33,641.80

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Solution

The fourth proportional to 100,204.36, 150,313.02 and 33,641.80 is: 50,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.36 : 150,313.02 = 33,641.80 : x
  2. Step 2: Convert to fraction form
    100,204.36/150,313.02 = 33,641.80/x
  3. Step 3: Cross multiply
    100,204.36x = 150,313.02 × 33,641.80
  4. Step 4: Simplify right side
    100,204.36x = 5,056,800,556.24
  5. Step 5: Solve for x
    x = 5,056,800,556.24/100,204.36
  6. Step 6: Final answer
    x = 50,464.88

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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.