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Finding the Fourth Proportional to 202,297.30, 303,445.95 and 135,769.30

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Solution

The fourth proportional to 202,297.30, 303,445.95 and 135,769.30 is: 203,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.30 : 303,445.95 = 135,769.30 : x
  2. Step 2: Convert to fraction form
    202,297.30/303,445.95 = 135,769.30/x
  3. Step 3: Cross multiply
    202,297.30x = 303,445.95 × 135,769.30
  4. Step 4: Simplify right side
    202,297.30x = 41,198,644,219.34
  5. Step 5: Solve for x
    x = 41,198,644,219.34/202,297.30
  6. Step 6: Final answer
    x = 203,653.95

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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.