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Finding the Fourth Proportional to 222,033.14, 306,405.52 and 120,058.36

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Solution

The fourth proportional to 222,033.14, 306,405.52 and 120,058.36 is: 165,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,033.14 : 306,405.52 = 120,058.36 : x
  2. Step 2: Convert to fraction form
    222,033.14/306,405.52 = 120,058.36/x
  3. Step 3: Cross multiply
    222,033.14x = 306,405.52 × 120,058.36
  4. Step 4: Simplify right side
    222,033.14x = 36,786,544,226.15
  5. Step 5: Solve for x
    x = 36,786,544,226.15/222,033.14
  6. Step 6: Final answer
    x = 165,680.42

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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.