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Finding the Fourth Proportional to 202,238.92, 303,363.07 and 52,485.11

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Solution

The fourth proportional to 202,238.92, 303,363.07 and 52,485.11 is: 78,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.92 : 303,363.07 = 52,485.11 : x
  2. Step 2: Convert to fraction form
    202,238.92/303,363.07 = 52,485.11/x
  3. Step 3: Cross multiply
    202,238.92x = 303,363.07 × 52,485.11
  4. Step 4: Simplify right side
    202,238.92x = 15,922,042,450.86
  5. Step 5: Solve for x
    x = 15,922,042,450.86/202,238.92
  6. Step 6: Final answer
    x = 78,728.87

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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.