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Finding the Fourth Proportional to 202,469.80, 303,834.30 and 118,229.80

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Solution

The fourth proportional to 202,469.80, 303,834.30 and 118,229.80 is: 177,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,469.80 : 303,834.30 = 118,229.80 : x
  2. Step 2: Convert to fraction form
    202,469.80/303,834.30 = 118,229.80/x
  3. Step 3: Cross multiply
    202,469.80x = 303,834.30 × 118,229.80
  4. Step 4: Simplify right side
    202,469.80x = 35,922,268,522.14
  5. Step 5: Solve for x
    x = 35,922,268,522.14/202,469.80
  6. Step 6: Final answer
    x = 177,420.38

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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.