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Finding the Fourth Proportional to 202,381.23, 279,286.47 and 111,737.37

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Solution

The fourth proportional to 202,381.23, 279,286.47 and 111,737.37 is: 154,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381.23 : 279,286.47 = 111,737.37 : x
  2. Step 2: Convert to fraction form
    202,381.23/279,286.47 = 111,737.37/x
  3. Step 3: Cross multiply
    202,381.23x = 279,286.47 × 111,737.37
  4. Step 4: Simplify right side
    202,381.23x = 31,206,735,634.38
  5. Step 5: Solve for x
    x = 31,206,735,634.38/202,381.23
  6. Step 6: Final answer
    x = 154,197.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.