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Finding the Fourth Proportional to 100,234.41, 138,323.08 and 54,912.34

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Solution

The fourth proportional to 100,234.41, 138,323.08 and 54,912.34 is: 75,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.41 : 138,323.08 = 54,912.34 : x
  2. Step 2: Convert to fraction form
    100,234.41/138,323.08 = 54,912.34/x
  3. Step 3: Cross multiply
    100,234.41x = 138,323.08 × 54,912.34
  4. Step 4: Simplify right side
    100,234.41x = 7,595,643,998.81
  5. Step 5: Solve for x
    x = 7,595,643,998.81/100,234.41
  6. Step 6: Final answer
    x = 75,778.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.