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Finding the Fourth Proportional to 244,761.25, 367,163.74 and 76,283

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Solution

The fourth proportional to 244,761.25, 367,163.74 and 76,283 is: 114,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,761.25 : 367,163.74 = 76,283 : x
  2. Step 2: Convert to fraction form
    244,761.25/367,163.74 = 76,283/x
  3. Step 3: Cross multiply
    244,761.25x = 367,163.74 × 76,283
  4. Step 4: Simplify right side
    244,761.25x = 28,008,351,578.42
  5. Step 5: Solve for x
    x = 28,008,351,578.42/244,761.25
  6. Step 6: Final answer
    x = 114,431.32

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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.