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Finding the Fourth Proportional to 189,624.30, 284,384.60 and 71,286.54

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Solution

The fourth proportional to 189,624.30, 284,384.60 and 71,286.54 is: 106,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,624.30 : 284,384.60 = 71,286.54 : x
  2. Step 2: Convert to fraction form
    189,624.30/284,384.60 = 71,286.54/x
  3. Step 3: Cross multiply
    189,624.30x = 284,384.60 × 71,286.54
  4. Step 4: Simplify right side
    189,624.30x = 20,272,794,163.28
  5. Step 5: Solve for x
    x = 20,272,794,163.28/189,624.30
  6. Step 6: Final answer
    x = 106,910.32

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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.