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Finding the Fourth Proportional to 143,227.89, 214,902.60 and 76,650.75

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Solution

The fourth proportional to 143,227.89, 214,902.60 and 76,650.75 is: 115,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,227.89 : 214,902.60 = 76,650.75 : x
  2. Step 2: Convert to fraction form
    143,227.89/214,902.60 = 76,650.75/x
  3. Step 3: Cross multiply
    143,227.89x = 214,902.60 × 76,650.75
  4. Step 4: Simplify right side
    143,227.89x = 16,472,445,466.95
  5. Step 5: Solve for x
    x = 16,472,445,466.95/143,227.89
  6. Step 6: Final answer
    x = 115,008.64

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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.