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Finding the Fourth Proportional to 107,084.82, 160,635.12 and 28,198.50

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Solution

The fourth proportional to 107,084.82, 160,635.12 and 28,198.50 is: 42,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,084.82 : 160,635.12 = 28,198.50 : x
  2. Step 2: Convert to fraction form
    107,084.82/160,635.12 = 28,198.50/x
  3. Step 3: Cross multiply
    107,084.82x = 160,635.12 × 28,198.50
  4. Step 4: Simplify right side
    107,084.82x = 4,529,669,431.32
  5. Step 5: Solve for x
    x = 4,529,669,431.32/107,084.82
  6. Step 6: Final answer
    x = 42,299.83

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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.