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Finding the Fourth Proportional to 219,902.40, 329,853.60 and 199,563.30

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Solution

The fourth proportional to 219,902.40, 329,853.60 and 199,563.30 is: 299,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,902.40 : 329,853.60 = 199,563.30 : x
  2. Step 2: Convert to fraction form
    219,902.40/329,853.60 = 199,563.30/x
  3. Step 3: Cross multiply
    219,902.40x = 329,853.60 × 199,563.30
  4. Step 4: Simplify right side
    219,902.40x = 65,826,672,932.88
  5. Step 5: Solve for x
    x = 65,826,672,932.88/219,902.40
  6. Step 6: Final answer
    x = 299,344.95

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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.