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Finding the Fourth Proportional to 100,208.65, 150,326.82 and 33,667.81

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Solution

The fourth proportional to 100,208.65, 150,326.82 and 33,667.81 is: 50,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.65 : 150,326.82 = 33,667.81 : x
  2. Step 2: Convert to fraction form
    100,208.65/150,326.82 = 33,667.81/x
  3. Step 3: Cross multiply
    100,208.65x = 150,326.82 × 33,667.81
  4. Step 4: Simplify right side
    100,208.65x = 5,061,174,813.66
  5. Step 5: Solve for x
    x = 5,061,174,813.66/100,208.65
  6. Step 6: Final answer
    x = 50,506.37

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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.