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Finding the Fourth Proportional to 202,327.71, 303,524.55 and 75,977.79

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Solution

The fourth proportional to 202,327.71, 303,524.55 and 75,977.79 is: 113,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,327.71 : 303,524.55 = 75,977.79 : x
  2. Step 2: Convert to fraction form
    202,327.71/303,524.55 = 75,977.79/x
  3. Step 3: Cross multiply
    202,327.71x = 303,524.55 × 75,977.79
  4. Step 4: Simplify right side
    202,327.71x = 23,061,124,519.74
  5. Step 5: Solve for x
    x = 23,061,124,519.74/202,327.71
  6. Step 6: Final answer
    x = 113,979.07

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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.