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Finding the Fourth Proportional to 222,289.89, 306,760.02 and 120,315.33

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Solution

The fourth proportional to 222,289.89, 306,760.02 and 120,315.33 is: 166,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,289.89 : 306,760.02 = 120,315.33 : x
  2. Step 2: Convert to fraction form
    222,289.89/306,760.02 = 120,315.33/x
  3. Step 3: Cross multiply
    222,289.89x = 306,760.02 × 120,315.33
  4. Step 4: Simplify right side
    222,289.89x = 36,907,933,037.11
  5. Step 5: Solve for x
    x = 36,907,933,037.11/222,289.89
  6. Step 6: Final answer
    x = 166,035.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.