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Finding the Fourth Proportional to 220,817.60, 304,729.44 and 120,216.32

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Solution

The fourth proportional to 220,817.60, 304,729.44 and 120,216.32 is: 165,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,817.60 : 304,729.44 = 120,216.32 : x
  2. Step 2: Convert to fraction form
    220,817.60/304,729.44 = 120,216.32/x
  3. Step 3: Cross multiply
    220,817.60x = 304,729.44 × 120,216.32
  4. Step 4: Simplify right side
    220,817.60x = 36,633,451,872.46
  5. Step 5: Solve for x
    x = 36,633,451,872.46/220,817.60
  6. Step 6: Final answer
    x = 165,899.15

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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.