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Finding the Fourth Proportional to 222,424.98, 306,946.63 and 120,451.24

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Solution

The fourth proportional to 222,424.98, 306,946.63 and 120,451.24 is: 166,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,424.98 : 306,946.63 = 120,451.24 : x
  2. Step 2: Convert to fraction form
    222,424.98/306,946.63 = 120,451.24/x
  3. Step 3: Cross multiply
    222,424.98x = 306,946.63 × 120,451.24
  4. Step 4: Simplify right side
    222,424.98x = 36,972,102,197.32
  5. Step 5: Solve for x
    x = 36,972,102,197.32/222,424.98
  6. Step 6: Final answer
    x = 166,222.80

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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.