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Finding the Fourth Proportional to 202,540.56, 303,996 and 102,769.44

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Solution

The fourth proportional to 202,540.56, 303,996 and 102,769.44 is: 154,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.56 : 303,996 = 102,769.44 : x
  2. Step 2: Convert to fraction form
    202,540.56/303,996 = 102,769.44/x
  3. Step 3: Cross multiply
    202,540.56x = 303,996 × 102,769.44
  4. Step 4: Simplify right side
    202,540.56x = 31,241,498,682.24
  5. Step 5: Solve for x
    x = 31,241,498,682.24/202,540.56
  6. Step 6: Final answer
    x = 154,248.11

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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.