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Finding the Fourth Proportional to 222,447.65, 306,976.23 and 120,470.76

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Solution

The fourth proportional to 222,447.65, 306,976.23 and 120,470.76 is: 166,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,447.65 : 306,976.23 = 120,470.76 : x
  2. Step 2: Convert to fraction form
    222,447.65/306,976.23 = 120,470.76/x
  3. Step 3: Cross multiply
    222,447.65x = 306,976.23 × 120,470.76
  4. Step 4: Simplify right side
    222,447.65x = 36,981,659,730.03
  5. Step 5: Solve for x
    x = 36,981,659,730.03/222,447.65
  6. Step 6: Final answer
    x = 166,248.83

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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.