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Finding the Fourth Proportional to 220,142.20, 329,775.90 and 120,123.40

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Solution

The fourth proportional to 220,142.20, 329,775.90 and 120,123.40 is: 179,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,142.20 : 329,775.90 = 120,123.40 : x
  2. Step 2: Convert to fraction form
    220,142.20/329,775.90 = 120,123.40/x
  3. Step 3: Cross multiply
    220,142.20x = 329,775.90 × 120,123.40
  4. Step 4: Simplify right side
    220,142.20x = 39,613,802,346.06
  5. Step 5: Solve for x
    x = 39,613,802,346.06/220,142.20
  6. Step 6: Final answer
    x = 179,946.43

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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.