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Finding the Fourth Proportional to 174,227.76, 261,380.52 and 49,578.48

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Solution

The fourth proportional to 174,227.76, 261,380.52 and 49,578.48 is: 74,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,227.76 : 261,380.52 = 49,578.48 : x
  2. Step 2: Convert to fraction form
    174,227.76/261,380.52 = 49,578.48/x
  3. Step 3: Cross multiply
    174,227.76x = 261,380.52 × 49,578.48
  4. Step 4: Simplify right side
    174,227.76x = 12,958,848,883.21
  5. Step 5: Solve for x
    x = 12,958,848,883.21/174,227.76
  6. Step 6: Final answer
    x = 74,378.78

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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.