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Finding the Fourth Proportional to 101,943.57, 140,682.12 and 57,231.57

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Solution

The fourth proportional to 101,943.57, 140,682.12 and 57,231.57 is: 78,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.57 : 140,682.12 = 57,231.57 : x
  2. Step 2: Convert to fraction form
    101,943.57/140,682.12 = 57,231.57/x
  3. Step 3: Cross multiply
    101,943.57x = 140,682.12 × 57,231.57
  4. Step 4: Simplify right side
    101,943.57x = 8,051,458,598.53
  5. Step 5: Solve for x
    x = 8,051,458,598.53/101,943.57
  6. Step 6: Final answer
    x = 78,979.56

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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.