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Finding the Fourth Proportional to 223,213.26, 334,812.87 and 54,734.10

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Solution

The fourth proportional to 223,213.26, 334,812.87 and 54,734.10 is: 82,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,213.26 : 334,812.87 = 54,734.10 : x
  2. Step 2: Convert to fraction form
    223,213.26/334,812.87 = 54,734.10/x
  3. Step 3: Cross multiply
    223,213.26x = 334,812.87 × 54,734.10
  4. Step 4: Simplify right side
    223,213.26x = 18,325,681,107.87
  5. Step 5: Solve for x
    x = 18,325,681,107.87/223,213.26
  6. Step 6: Final answer
    x = 82,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.