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Finding the Fourth Proportional to 217,505.70, 300,138.21 and 132,605.82

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Solution

The fourth proportional to 217,505.70, 300,138.21 and 132,605.82 is: 182,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,505.70 : 300,138.21 = 132,605.82 : x
  2. Step 2: Convert to fraction form
    217,505.70/300,138.21 = 132,605.82/x
  3. Step 3: Cross multiply
    217,505.70x = 300,138.21 × 132,605.82
  4. Step 4: Simplify right side
    217,505.70x = 39,800,073,450.38
  5. Step 5: Solve for x
    x = 39,800,073,450.38/217,505.70
  6. Step 6: Final answer
    x = 182,984.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.