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Finding the Fourth Proportional to 140,896.50, 211,372.38 and 52,150.76

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Solution

The fourth proportional to 140,896.50, 211,372.38 and 52,150.76 is: 78,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,896.50 : 211,372.38 = 52,150.76 : x
  2. Step 2: Convert to fraction form
    140,896.50/211,372.38 = 52,150.76/x
  3. Step 3: Cross multiply
    140,896.50x = 211,372.38 × 52,150.76
  4. Step 4: Simplify right side
    140,896.50x = 11,023,230,260.01
  5. Step 5: Solve for x
    x = 11,023,230,260.01/140,896.50
  6. Step 6: Final answer
    x = 78,236.37

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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.