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Finding the Fourth Proportional to 222,426.99, 306,949.38 and 120,453.24

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Solution

The fourth proportional to 222,426.99, 306,949.38 and 120,453.24 is: 166,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,426.99 : 306,949.38 = 120,453.24 : x
  2. Step 2: Convert to fraction form
    222,426.99/306,949.38 = 120,453.24/x
  3. Step 3: Cross multiply
    222,426.99x = 306,949.38 × 120,453.24
  4. Step 4: Simplify right side
    222,426.99x = 36,973,047,336.99
  5. Step 5: Solve for x
    x = 36,973,047,336.99/222,426.99
  6. Step 6: Final answer
    x = 166,225.54

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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.