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Finding the Fourth Proportional to 222,449.71, 306,979.07 and 120,472.83

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Solution

The fourth proportional to 222,449.71, 306,979.07 and 120,472.83 is: 166,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,449.71 : 306,979.07 = 120,472.83 : x
  2. Step 2: Convert to fraction form
    222,449.71/306,979.07 = 120,472.83/x
  3. Step 3: Cross multiply
    222,449.71x = 306,979.07 × 120,472.83
  4. Step 4: Simplify right side
    222,449.71x = 36,982,637,313.67
  5. Step 5: Solve for x
    x = 36,982,637,313.67/222,449.71
  6. Step 6: Final answer
    x = 166,251.68

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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.