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Finding the Fourth Proportional to 178,684.14, 268,017.57 and 67,867.50

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Solution

The fourth proportional to 178,684.14, 268,017.57 and 67,867.50 is: 101,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,684.14 : 268,017.57 = 67,867.50 : x
  2. Step 2: Convert to fraction form
    178,684.14/268,017.57 = 67,867.50/x
  3. Step 3: Cross multiply
    178,684.14x = 268,017.57 × 67,867.50
  4. Step 4: Simplify right side
    178,684.14x = 18,189,682,431.98
  5. Step 5: Solve for x
    x = 18,189,682,431.98/178,684.14
  6. Step 6: Final answer
    x = 101,797.97

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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.