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Finding the Fourth Proportional to 230,534.56, 318,163.44 and 135,121.96

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Solution

The fourth proportional to 230,534.56, 318,163.44 and 135,121.96 is: 186,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,534.56 : 318,163.44 = 135,121.96 : x
  2. Step 2: Convert to fraction form
    230,534.56/318,163.44 = 135,121.96/x
  3. Step 3: Cross multiply
    230,534.56x = 318,163.44 × 135,121.96
  4. Step 4: Simplify right side
    230,534.56x = 42,990,867,613.14
  5. Step 5: Solve for x
    x = 42,990,867,613.14/230,534.56
  6. Step 6: Final answer
    x = 186,483.40

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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.