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Finding the Fourth Proportional to 217,141.70, 326,082.51 and 141,369.30

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Solution

The fourth proportional to 217,141.70, 326,082.51 and 141,369.30 is: 212,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,141.70 : 326,082.51 = 141,369.30 : x
  2. Step 2: Convert to fraction form
    217,141.70/326,082.51 = 141,369.30/x
  3. Step 3: Cross multiply
    217,141.70x = 326,082.51 × 141,369.30
  4. Step 4: Simplify right side
    217,141.70x = 46,098,056,180.94
  5. Step 5: Solve for x
    x = 46,098,056,180.94/217,141.70
  6. Step 6: Final answer
    x = 212,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.