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Finding the Fourth Proportional to 220,936.38, 304,892.10 and 120,334.38

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Solution

The fourth proportional to 220,936.38, 304,892.10 and 120,334.38 is: 166,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,936.38 : 304,892.10 = 120,334.38 : x
  2. Step 2: Convert to fraction form
    220,936.38/304,892.10 = 120,334.38/x
  3. Step 3: Cross multiply
    220,936.38x = 304,892.10 × 120,334.38
  4. Step 4: Simplify right side
    220,936.38x = 36,689,001,820.40
  5. Step 5: Solve for x
    x = 36,689,001,820.40/220,936.38
  6. Step 6: Final answer
    x = 166,061.39

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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.