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Finding the Fourth Proportional to 202,464.20, 303,969.90 and 118,310.60

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Solution

The fourth proportional to 202,464.20, 303,969.90 and 118,310.60 is: 177,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464.20 : 303,969.90 = 118,310.60 : x
  2. Step 2: Convert to fraction form
    202,464.20/303,969.90 = 118,310.60/x
  3. Step 3: Cross multiply
    202,464.20x = 303,969.90 × 118,310.60
  4. Step 4: Simplify right side
    202,464.20x = 35,962,861,250.94
  5. Step 5: Solve for x
    x = 35,962,861,250.94/202,464.20
  6. Step 6: Final answer
    x = 177,625.78

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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.