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Finding the Fourth Proportional to 135,642.56, 203,422.24 and 93,791.56

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Solution

The fourth proportional to 135,642.56, 203,422.24 and 93,791.56 is: 140,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.56 : 203,422.24 = 93,791.56 : x
  2. Step 2: Convert to fraction form
    135,642.56/203,422.24 = 93,791.56/x
  3. Step 3: Cross multiply
    135,642.56x = 203,422.24 × 93,791.56
  4. Step 4: Simplify right side
    135,642.56x = 19,079,289,228.29
  5. Step 5: Solve for x
    x = 19,079,289,228.29/135,642.56
  6. Step 6: Final answer
    x = 140,658.58

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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.