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Finding the Fourth Proportional to 139,952.52, 193,156.92 and 82,593

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Solution

The fourth proportional to 139,952.52, 193,156.92 and 82,593 is: 113,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.52 : 193,156.92 = 82,593 : x
  2. Step 2: Convert to fraction form
    139,952.52/193,156.92 = 82,593/x
  3. Step 3: Cross multiply
    139,952.52x = 193,156.92 × 82,593
  4. Step 4: Simplify right side
    139,952.52x = 15,953,409,493.56
  5. Step 5: Solve for x
    x = 15,953,409,493.56/139,952.52
  6. Step 6: Final answer
    x = 113,991.58

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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.