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Finding the Fourth Proportional to 137,910.75, 206,866.14 and 44,416.50

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Solution

The fourth proportional to 137,910.75, 206,866.14 and 44,416.50 is: 66,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910.75 : 206,866.14 = 44,416.50 : x
  2. Step 2: Convert to fraction form
    137,910.75/206,866.14 = 44,416.50/x
  3. Step 3: Cross multiply
    137,910.75x = 206,866.14 × 44,416.50
  4. Step 4: Simplify right side
    137,910.75x = 9,188,269,740.75
  5. Step 5: Solve for x
    x = 9,188,269,740.75/137,910.75
  6. Step 6: Final answer
    x = 66,624.75

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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.