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Finding the Fourth Proportional to 222,387.24, 306,893.10 and 120,410.60

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Solution

The fourth proportional to 222,387.24, 306,893.10 and 120,410.60 is: 166,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,387.24 : 306,893.10 = 120,410.60 : x
  2. Step 2: Convert to fraction form
    222,387.24/306,893.10 = 120,410.60/x
  3. Step 3: Cross multiply
    222,387.24x = 306,893.10 × 120,410.60
  4. Step 4: Simplify right side
    222,387.24x = 36,953,182,306.86
  5. Step 5: Solve for x
    x = 36,953,182,306.86/222,387.24
  6. Step 6: Final answer
    x = 166,165.93

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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.