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Finding the Fourth Proportional to 219,857.70, 329,786.55 and 131,211.30

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Solution

The fourth proportional to 219,857.70, 329,786.55 and 131,211.30 is: 196,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,857.70 : 329,786.55 = 131,211.30 : x
  2. Step 2: Convert to fraction form
    219,857.70/329,786.55 = 131,211.30/x
  3. Step 3: Cross multiply
    219,857.70x = 329,786.55 × 131,211.30
  4. Step 4: Simplify right side
    219,857.70x = 43,271,721,948.02
  5. Step 5: Solve for x
    x = 43,271,721,948.02/219,857.70
  6. Step 6: Final answer
    x = 196,816.95

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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.