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Finding the Fourth Proportional to 202,023.40, 303,363.15 and 135,757.30

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Solution

The fourth proportional to 202,023.40, 303,363.15 and 135,757.30 is: 203,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023.40 : 303,363.15 = 135,757.30 : x
  2. Step 2: Convert to fraction form
    202,023.40/303,363.15 = 135,757.30/x
  3. Step 3: Cross multiply
    202,023.40x = 303,363.15 × 135,757.30
  4. Step 4: Simplify right side
    202,023.40x = 41,183,762,163.50
  5. Step 5: Solve for x
    x = 41,183,762,163.50/202,023.40
  6. Step 6: Final answer
    x = 203,856.40

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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.