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Finding the Fourth Proportional to 146,143.96, 219,086.34 and 71,222.20

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Solution

The fourth proportional to 146,143.96, 219,086.34 and 71,222.20 is: 106,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143.96 : 219,086.34 = 71,222.20 : x
  2. Step 2: Convert to fraction form
    146,143.96/219,086.34 = 71,222.20/x
  3. Step 3: Cross multiply
    146,143.96x = 219,086.34 × 71,222.20
  4. Step 4: Simplify right side
    146,143.96x = 15,603,811,124.75
  5. Step 5: Solve for x
    x = 15,603,811,124.75/146,143.96
  6. Step 6: Final answer
    x = 106,770.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.