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Finding the Fourth Proportional to 202,443.37, 303,849.36 and 107,753.09

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Solution

The fourth proportional to 202,443.37, 303,849.36 and 107,753.09 is: 161,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,443.37 : 303,849.36 = 107,753.09 : x
  2. Step 2: Convert to fraction form
    202,443.37/303,849.36 = 107,753.09/x
  3. Step 3: Cross multiply
    202,443.37x = 303,849.36 × 107,753.09
  4. Step 4: Simplify right side
    202,443.37x = 32,740,705,915.28
  5. Step 5: Solve for x
    x = 32,740,705,915.28/202,443.37
  6. Step 6: Final answer
    x = 161,727.73

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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.