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Finding the Fourth Proportional to 222,385.25, 306,890.34 and 120,408.61

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Solution

The fourth proportional to 222,385.25, 306,890.34 and 120,408.61 is: 166,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,385.25 : 306,890.34 = 120,408.61 : x
  2. Step 2: Convert to fraction form
    222,385.25/306,890.34 = 120,408.61/x
  3. Step 3: Cross multiply
    222,385.25x = 306,890.34 × 120,408.61
  4. Step 4: Simplify right side
    222,385.25x = 36,952,238,225.13
  5. Step 5: Solve for x
    x = 36,952,238,225.13/222,385.25
  6. Step 6: Final answer
    x = 166,163.17

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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.