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Finding the Fourth Proportional to 202,606.82, 303,923.20 and 77,947.82

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Solution

The fourth proportional to 202,606.82, 303,923.20 and 77,947.82 is: 116,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,606.82 : 303,923.20 = 77,947.82 : x
  2. Step 2: Convert to fraction form
    202,606.82/303,923.20 = 77,947.82/x
  3. Step 3: Cross multiply
    202,606.82x = 303,923.20 × 77,947.82
  4. Step 4: Simplify right side
    202,606.82x = 23,690,150,887.42
  5. Step 5: Solve for x
    x = 23,690,150,887.42/202,606.82
  6. Step 6: Final answer
    x = 116,926.72

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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.