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Finding the Fourth Proportional to 199,622.20, 299,433.30 and 120,890.20

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Solution

The fourth proportional to 199,622.20, 299,433.30 and 120,890.20 is: 181,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622.20 : 299,433.30 = 120,890.20 : x
  2. Step 2: Convert to fraction form
    199,622.20/299,433.30 = 120,890.20/x
  3. Step 3: Cross multiply
    199,622.20x = 299,433.30 × 120,890.20
  4. Step 4: Simplify right side
    199,622.20x = 36,198,551,523.66
  5. Step 5: Solve for x
    x = 36,198,551,523.66/199,622.20
  6. Step 6: Final answer
    x = 181,335.30

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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.