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Finding the Fourth Proportional to 220,198.20, 329,859.90 and 120,179.40

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Solution

The fourth proportional to 220,198.20, 329,859.90 and 120,179.40 is: 180,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,198.20 : 329,859.90 = 120,179.40 : x
  2. Step 2: Convert to fraction form
    220,198.20/329,859.90 = 120,179.40/x
  3. Step 3: Cross multiply
    220,198.20x = 329,859.90 × 120,179.40
  4. Step 4: Simplify right side
    220,198.20x = 39,642,364,866.06
  5. Step 5: Solve for x
    x = 39,642,364,866.06/220,198.20
  6. Step 6: Final answer
    x = 180,030.38

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Why These Related Problems?

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