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Finding the Fourth Proportional to 120,227.50, 180,224.05 and 50,126.86

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Solution

The fourth proportional to 120,227.50, 180,224.05 and 50,126.86 is: 75,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,227.50 : 180,224.05 = 50,126.86 : x
  2. Step 2: Convert to fraction form
    120,227.50/180,224.05 = 50,126.86/x
  3. Step 3: Cross multiply
    120,227.50x = 180,224.05 × 50,126.86
  4. Step 4: Simplify right side
    120,227.50x = 9,034,065,722.98
  5. Step 5: Solve for x
    x = 9,034,065,722.98/120,227.50
  6. Step 6: Final answer
    x = 75,141.43

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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.