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Finding the Fourth Proportional to 309,082.49, 463,690.31 and 95,846.11

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Solution

The fourth proportional to 309,082.49, 463,690.31 and 95,846.11 is: 143,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,082.49 : 463,690.31 = 95,846.11 : x
  2. Step 2: Convert to fraction form
    309,082.49/463,690.31 = 95,846.11/x
  3. Step 3: Cross multiply
    309,082.49x = 463,690.31 × 95,846.11
  4. Step 4: Simplify right side
    309,082.49x = 44,442,912,458.19
  5. Step 5: Solve for x
    x = 44,442,912,458.19/309,082.49
  6. Step 6: Final answer
    x = 143,789.81

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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.