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Finding the Fourth Proportional to 220,662, 304,518.42 and 120,060

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Solution

The fourth proportional to 220,662, 304,518.42 and 120,060 is: 165,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,662 : 304,518.42 = 120,060 : x
  2. Step 2: Convert to fraction form
    220,662/304,518.42 = 120,060/x
  3. Step 3: Cross multiply
    220,662x = 304,518.42 × 120,060
  4. Step 4: Simplify right side
    220,662x = 36,560,481,505.20
  5. Step 5: Solve for x
    x = 36,560,481,505.20/220,662
  6. Step 6: Final answer
    x = 165,685.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.