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Finding the Fourth Proportional to 202,142.20, 303,213.30 and 198,205.60

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Solution

The fourth proportional to 202,142.20, 303,213.30 and 198,205.60 is: 297,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.20 : 303,213.30 = 198,205.60 : x
  2. Step 2: Convert to fraction form
    202,142.20/303,213.30 = 198,205.60/x
  3. Step 3: Cross multiply
    202,142.20x = 303,213.30 × 198,205.60
  4. Step 4: Simplify right side
    202,142.20x = 60,098,574,054.48
  5. Step 5: Solve for x
    x = 60,098,574,054.48/202,142.20
  6. Step 6: Final answer
    x = 297,308.40

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