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Finding the Fourth Proportional to 222,436.70, 306,962.82 and 120,462.32

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Solution

The fourth proportional to 222,436.70, 306,962.82 and 120,462.32 is: 166,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,436.70 : 306,962.82 = 120,462.32 : x
  2. Step 2: Convert to fraction form
    222,436.70/306,962.82 = 120,462.32/x
  3. Step 3: Cross multiply
    222,436.70x = 306,962.82 × 120,462.32
  4. Step 4: Simplify right side
    222,436.70x = 36,977,453,450.94
  5. Step 5: Solve for x
    x = 36,977,453,450.94/222,436.70
  6. Step 6: Final answer
    x = 166,238.10

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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.