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Finding the Fourth Proportional to 222,352.19, 306,843.82 and 120,374.96

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Solution

The fourth proportional to 222,352.19, 306,843.82 and 120,374.96 is: 166,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,352.19 : 306,843.82 = 120,374.96 : x
  2. Step 2: Convert to fraction form
    222,352.19/306,843.82 = 120,374.96/x
  3. Step 3: Cross multiply
    222,352.19x = 306,843.82 × 120,374.96
  4. Step 4: Simplify right side
    222,352.19x = 36,936,310,422.65
  5. Step 5: Solve for x
    x = 36,936,310,422.65/222,352.19
  6. Step 6: Final answer
    x = 166,116.24

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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.