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Finding the Fourth Proportional to 106,933.86, 160,294.95 and 50,674.50

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Solution

The fourth proportional to 106,933.86, 160,294.95 and 50,674.50 is: 75,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,933.86 : 160,294.95 = 50,674.50 : x
  2. Step 2: Convert to fraction form
    106,933.86/160,294.95 = 50,674.50/x
  3. Step 3: Cross multiply
    106,933.86x = 160,294.95 × 50,674.50
  4. Step 4: Simplify right side
    106,933.86x = 8,122,866,443.78
  5. Step 5: Solve for x
    x = 8,122,866,443.78/106,933.86
  6. Step 6: Final answer
    x = 75,961.59

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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.