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Finding the Fourth Proportional to 202,651.52, 303,977.20 and 54,907.52

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Solution

The fourth proportional to 202,651.52, 303,977.20 and 54,907.52 is: 82,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,651.52 : 303,977.20 = 54,907.52 : x
  2. Step 2: Convert to fraction form
    202,651.52/303,977.20 = 54,907.52/x
  3. Step 3: Cross multiply
    202,651.52x = 303,977.20 × 54,907.52
  4. Step 4: Simplify right side
    202,651.52x = 16,690,634,188.54
  5. Step 5: Solve for x
    x = 16,690,634,188.54/202,651.52
  6. Step 6: Final answer
    x = 82,361.26

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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.