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Finding the Fourth Proportional to 222,424.38, 306,944.24 and 120,448.22

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Solution

The fourth proportional to 222,424.38, 306,944.24 and 120,448.22 is: 166,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,424.38 : 306,944.24 = 120,448.22 : x
  2. Step 2: Convert to fraction form
    222,424.38/306,944.24 = 120,448.22/x
  3. Step 3: Cross multiply
    222,424.38x = 306,944.24 × 120,448.22
  4. Step 4: Simplify right side
    222,424.38x = 36,970,885,210.29
  5. Step 5: Solve for x
    x = 36,970,885,210.29/222,424.38
  6. Step 6: Final answer
    x = 166,217.77

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1.5x scale

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.