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Finding the Fourth Proportional to 100,200.18, 150,302.70 and 33,642.48

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Solution

The fourth proportional to 100,200.18, 150,302.70 and 33,642.48 is: 50,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.18 : 150,302.70 = 33,642.48 : x
  2. Step 2: Convert to fraction form
    100,200.18/150,302.70 = 33,642.48/x
  3. Step 3: Cross multiply
    100,200.18x = 150,302.70 × 33,642.48
  4. Step 4: Simplify right side
    100,200.18x = 5,056,555,578.70
  5. Step 5: Solve for x
    x = 5,056,555,578.70/100,200.18
  6. Step 6: Final answer
    x = 50,464.54

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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.