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Finding the Fourth Proportional to 202,238.24, 303,227.76 and 83,991.20

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Solution

The fourth proportional to 202,238.24, 303,227.76 and 83,991.20 is: 125,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.24 : 303,227.76 = 83,991.20 : x
  2. Step 2: Convert to fraction form
    202,238.24/303,227.76 = 83,991.20/x
  3. Step 3: Cross multiply
    202,238.24x = 303,227.76 × 83,991.20
  4. Step 4: Simplify right side
    202,238.24x = 25,468,463,435.71
  5. Step 5: Solve for x
    x = 25,468,463,435.71/202,238.24
  6. Step 6: Final answer
    x = 125,932.98

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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.