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Finding the Fourth Proportional to 106,314.50, 159,570.56 and 53,761.70

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Solution

The fourth proportional to 106,314.50, 159,570.56 and 53,761.70 is: 80,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.50 : 159,570.56 = 53,761.70 : x
  2. Step 2: Convert to fraction form
    106,314.50/159,570.56 = 53,761.70/x
  3. Step 3: Cross multiply
    106,314.50x = 159,570.56 × 53,761.70
  4. Step 4: Simplify right side
    106,314.50x = 8,578,783,912.10
  5. Step 5: Solve for x
    x = 8,578,783,912.10/106,314.50
  6. Step 6: Final answer
    x = 80,692.51

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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.