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Finding the Fourth Proportional to 100,204.12, 150,313.46 and 33,643.68

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Solution

The fourth proportional to 100,204.12, 150,313.46 and 33,643.68 is: 50,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.12 : 150,313.46 = 33,643.68 : x
  2. Step 2: Convert to fraction form
    100,204.12/150,313.46 = 33,643.68/x
  3. Step 3: Cross multiply
    100,204.12x = 150,313.46 × 33,643.68
  4. Step 4: Simplify right side
    100,204.12x = 5,057,097,947.93
  5. Step 5: Solve for x
    x = 5,057,097,947.93/100,204.12
  6. Step 6: Final answer
    x = 50,467.96

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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.