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Finding the Fourth Proportional to 222,443.36, 306,972.24 and 120,468.53

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Solution

The fourth proportional to 222,443.36, 306,972.24 and 120,468.53 is: 166,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,443.36 : 306,972.24 = 120,468.53 : x
  2. Step 2: Convert to fraction form
    222,443.36/306,972.24 = 120,468.53/x
  3. Step 3: Cross multiply
    222,443.36x = 306,972.24 × 120,468.53
  4. Step 4: Simplify right side
    222,443.36x = 36,980,494,371.29
  5. Step 5: Solve for x
    x = 36,980,494,371.29/222,443.36
  6. Step 6: Final answer
    x = 166,246.79

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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.