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Finding the Fourth Proportional to 222,384.96, 306,891.38 and 120,410.49

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Solution

The fourth proportional to 222,384.96, 306,891.38 and 120,410.49 is: 166,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,384.96 : 306,891.38 = 120,410.49 : x
  2. Step 2: Convert to fraction form
    222,384.96/306,891.38 = 120,410.49/x
  3. Step 3: Cross multiply
    222,384.96x = 306,891.38 × 120,410.49
  4. Step 4: Simplify right side
    222,384.96x = 36,952,940,736.62
  5. Step 5: Solve for x
    x = 36,952,940,736.62/222,384.96
  6. Step 6: Final answer
    x = 166,166.55

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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.