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Finding the Fourth Proportional to 139,123.56, 191,973 and 82,524

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Solution

The fourth proportional to 139,123.56, 191,973 and 82,524 is: 113,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,123.56 : 191,973 = 82,524 : x
  2. Step 2: Convert to fraction form
    139,123.56/191,973 = 82,524/x
  3. Step 3: Cross multiply
    139,123.56x = 191,973 × 82,524
  4. Step 4: Simplify right side
    139,123.56x = 15,842,379,852
  5. Step 5: Solve for x
    x = 15,842,379,852/139,123.56
  6. Step 6: Final answer
    x = 113,872.73

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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.