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Finding the Fourth Proportional to 220,991.63, 304,968.44 and 120,389.63

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Solution

The fourth proportional to 220,991.63, 304,968.44 and 120,389.63 is: 166,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,991.63 : 304,968.44 = 120,389.63 : x
  2. Step 2: Convert to fraction form
    220,991.63/304,968.44 = 120,389.63/x
  3. Step 3: Cross multiply
    220,991.63x = 304,968.44 × 120,389.63
  4. Step 4: Simplify right side
    220,991.63x = 36,715,036,429.41
  5. Step 5: Solve for x
    x = 36,715,036,429.41/220,991.63
  6. Step 6: Final answer
    x = 166,137.68

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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.