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Finding the Fourth Proportional to 202,717.14, 303,747.39 and 123,592.02

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Solution

The fourth proportional to 202,717.14, 303,747.39 and 123,592.02 is: 185,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,717.14 : 303,747.39 = 123,592.02 : x
  2. Step 2: Convert to fraction form
    202,717.14/303,747.39 = 123,592.02/x
  3. Step 3: Cross multiply
    202,717.14x = 303,747.39 × 123,592.02
  4. Step 4: Simplify right side
    202,717.14x = 37,540,753,499.83
  5. Step 5: Solve for x
    x = 37,540,753,499.83/202,717.14
  6. Step 6: Final answer
    x = 185,187.86

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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.