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Finding the Fourth Proportional to 220,258.52, 330,493.62 and 120,414.68

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Solution

The fourth proportional to 220,258.52, 330,493.62 and 120,414.68 is: 180,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,258.52 : 330,493.62 = 120,414.68 : x
  2. Step 2: Convert to fraction form
    220,258.52/330,493.62 = 120,414.68/x
  3. Step 3: Cross multiply
    220,258.52x = 330,493.62 × 120,414.68
  4. Step 4: Simplify right side
    220,258.52x = 39,796,283,494.34
  5. Step 5: Solve for x
    x = 39,796,283,494.34/220,258.52
  6. Step 6: Final answer
    x = 180,679.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.