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Finding the Fourth Proportional to 105,229.56, 145,215 and 57,481.68

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Solution

The fourth proportional to 105,229.56, 145,215 and 57,481.68 is: 79,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.56 : 145,215 = 57,481.68 : x
  2. Step 2: Convert to fraction form
    105,229.56/145,215 = 57,481.68/x
  3. Step 3: Cross multiply
    105,229.56x = 145,215 × 57,481.68
  4. Step 4: Simplify right side
    105,229.56x = 8,347,202,161.20
  5. Step 5: Solve for x
    x = 8,347,202,161.20/105,229.56
  6. Step 6: Final answer
    x = 79,323.74

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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.