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Finding the Fourth Proportional to 230,268.44, 345,449.24 and 97,149

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Solution

The fourth proportional to 230,268.44, 345,449.24 and 97,149 is: 145,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,268.44 : 345,449.24 = 97,149 : x
  2. Step 2: Convert to fraction form
    230,268.44/345,449.24 = 97,149/x
  3. Step 3: Cross multiply
    230,268.44x = 345,449.24 × 97,149
  4. Step 4: Simplify right side
    230,268.44x = 33,560,048,216.76
  5. Step 5: Solve for x
    x = 33,560,048,216.76/230,268.44
  6. Step 6: Final answer
    x = 145,743.15

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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.