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Finding the Fourth Proportional to 150,766.50, 226,253.43 and 52,270.50

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Solution

The fourth proportional to 150,766.50, 226,253.43 and 52,270.50 is: 78,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,766.50 : 226,253.43 = 52,270.50 : x
  2. Step 2: Convert to fraction form
    150,766.50/226,253.43 = 52,270.50/x
  3. Step 3: Cross multiply
    150,766.50x = 226,253.43 × 52,270.50
  4. Step 4: Simplify right side
    150,766.50x = 11,826,379,912.82
  5. Step 5: Solve for x
    x = 11,826,379,912.82/150,766.50
  6. Step 6: Final answer
    x = 78,441.70

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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.