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Finding the Fourth Proportional to 222,095.31, 306,490.61 and 120,120.89

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Solution

The fourth proportional to 222,095.31, 306,490.61 and 120,120.89 is: 165,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,095.31 : 306,490.61 = 120,120.89 : x
  2. Step 2: Convert to fraction form
    222,095.31/306,490.61 = 120,120.89/x
  3. Step 3: Cross multiply
    222,095.31x = 306,490.61 × 120,120.89
  4. Step 4: Simplify right side
    222,095.31x = 36,815,923,617.69
  5. Step 5: Solve for x
    x = 36,815,923,617.69/222,095.31
  6. Step 6: Final answer
    x = 165,766.33

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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.