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Finding the Fourth Proportional to 151,540.56, 227,286.32 and 71,578.40

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Solution

The fourth proportional to 151,540.56, 227,286.32 and 71,578.40 is: 107,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,540.56 : 227,286.32 = 71,578.40 : x
  2. Step 2: Convert to fraction form
    151,540.56/227,286.32 = 71,578.40/x
  3. Step 3: Cross multiply
    151,540.56x = 227,286.32 × 71,578.40
  4. Step 4: Simplify right side
    151,540.56x = 16,268,789,633.16
  5. Step 5: Solve for x
    x = 16,268,789,633.16/151,540.56
  6. Step 6: Final answer
    x = 107,356.01

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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.