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Finding the Fourth Proportional to 189,286.85, 284,342.58 and 114,442.26

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Solution

The fourth proportional to 189,286.85, 284,342.58 and 114,442.26 is: 171,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,286.85 : 284,342.58 = 114,442.26 : x
  2. Step 2: Convert to fraction form
    189,286.85/284,342.58 = 114,442.26/x
  3. Step 3: Cross multiply
    189,286.85x = 284,342.58 × 114,442.26
  4. Step 4: Simplify right side
    189,286.85x = 32,540,807,469.43
  5. Step 5: Solve for x
    x = 32,540,807,469.43/189,286.85
  6. Step 6: Final answer
    x = 171,912.67

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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.