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Finding the Fourth Proportional to 202,444.89, 303,851.57 and 107,754.54

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Solution

The fourth proportional to 202,444.89, 303,851.57 and 107,754.54 is: 161,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,444.89 : 303,851.57 = 107,754.54 : x
  2. Step 2: Convert to fraction form
    202,444.89/303,851.57 = 107,754.54/x
  3. Step 3: Cross multiply
    202,444.89x = 303,851.57 × 107,754.54
  4. Step 4: Simplify right side
    202,444.89x = 32,741,385,614.86
  5. Step 5: Solve for x
    x = 32,741,385,614.86/202,444.89
  6. Step 6: Final answer
    x = 161,729.87

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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.