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Finding the Fourth Proportional to 202,457.20, 303,685.80 and 199,346.80

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Solution

The fourth proportional to 202,457.20, 303,685.80 and 199,346.80 is: 299,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.20 : 303,685.80 = 199,346.80 : x
  2. Step 2: Convert to fraction form
    202,457.20/303,685.80 = 199,346.80/x
  3. Step 3: Cross multiply
    202,457.20x = 303,685.80 × 199,346.80
  4. Step 4: Simplify right side
    202,457.20x = 60,538,792,435.44
  5. Step 5: Solve for x
    x = 60,538,792,435.44/202,457.20
  6. Step 6: Final answer
    x = 299,020.20

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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.