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Finding the Fourth Proportional to 222,447.96, 306,976.66 and 120,471.07

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Solution

The fourth proportional to 222,447.96, 306,976.66 and 120,471.07 is: 166,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,447.96 : 306,976.66 = 120,471.07 : x
  2. Step 2: Convert to fraction form
    222,447.96/306,976.66 = 120,471.07/x
  3. Step 3: Cross multiply
    222,447.96x = 306,976.66 × 120,471.07
  4. Step 4: Simplify right side
    222,447.96x = 36,981,807,613.26
  5. Step 5: Solve for x
    x = 36,981,807,613.26/222,447.96
  6. Step 6: Final answer
    x = 166,249.26

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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.