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Finding the Fourth Proportional to 215,471.92, 323,183.16 and 82,349.22

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Solution

The fourth proportional to 215,471.92, 323,183.16 and 82,349.22 is: 123,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,471.92 : 323,183.16 = 82,349.22 : x
  2. Step 2: Convert to fraction form
    215,471.92/323,183.16 = 82,349.22/x
  3. Step 3: Cross multiply
    215,471.92x = 323,183.16 × 82,349.22
  4. Step 4: Simplify right side
    215,471.92x = 26,613,881,143.14
  5. Step 5: Solve for x
    x = 26,613,881,143.14/215,471.92
  6. Step 6: Final answer
    x = 123,514.38

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1.5x scale

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.