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Finding the Fourth Proportional to 200,213.24, 300,418.24 and 93,604.50

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Solution

The fourth proportional to 200,213.24, 300,418.24 and 93,604.50 is: 140,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,213.24 : 300,418.24 = 93,604.50 : x
  2. Step 2: Convert to fraction form
    200,213.24/300,418.24 = 93,604.50/x
  3. Step 3: Cross multiply
    200,213.24x = 300,418.24 × 93,604.50
  4. Step 4: Simplify right side
    200,213.24x = 28,120,499,146.08
  5. Step 5: Solve for x
    x = 28,120,499,146.08/200,213.24
  6. Step 6: Final answer
    x = 140,452.75

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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.