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Finding the Fourth Proportional to 262,861.40, 394,076.10 and 113,216.60

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Solution

The fourth proportional to 262,861.40, 394,076.10 and 113,216.60 is: 169,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,861.40 : 394,076.10 = 113,216.60 : x
  2. Step 2: Convert to fraction form
    262,861.40/394,076.10 = 113,216.60/x
  3. Step 3: Cross multiply
    262,861.40x = 394,076.10 × 113,216.60
  4. Step 4: Simplify right side
    262,861.40x = 44,615,956,183.26
  5. Step 5: Solve for x
    x = 44,615,956,183.26/262,861.40
  6. Step 6: Final answer
    x = 169,731.87

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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.