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Finding the Fourth Proportional to 106,935.86, 160,297.95 and 50,676.50

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Solution

The fourth proportional to 106,935.86, 160,297.95 and 50,676.50 is: 75,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935.86 : 160,297.95 = 50,676.50 : x
  2. Step 2: Convert to fraction form
    106,935.86/160,297.95 = 50,676.50/x
  3. Step 3: Cross multiply
    106,935.86x = 160,297.95 × 50,676.50
  4. Step 4: Simplify right side
    106,935.86x = 8,123,339,063.18
  5. Step 5: Solve for x
    x = 8,123,339,063.18/106,935.86
  6. Step 6: Final answer
    x = 75,964.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.