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Finding the Fourth Proportional to 222,266.40, 306,728.34 and 120,291.83

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Solution

The fourth proportional to 222,266.40, 306,728.34 and 120,291.83 is: 166,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,266.40 : 306,728.34 = 120,291.83 : x
  2. Step 2: Convert to fraction form
    222,266.40/306,728.34 = 120,291.83/x
  3. Step 3: Cross multiply
    222,266.40x = 306,728.34 × 120,291.83
  4. Step 4: Simplify right side
    222,266.40x = 36,896,915,237.27
  5. Step 5: Solve for x
    x = 36,896,915,237.27/222,266.40
  6. Step 6: Final answer
    x = 166,003.11

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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.