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Finding the Fourth Proportional to 219,882.70, 329,824.05 and 72,138.70

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Solution

The fourth proportional to 219,882.70, 329,824.05 and 72,138.70 is: 108,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,882.70 : 329,824.05 = 72,138.70 : x
  2. Step 2: Convert to fraction form
    219,882.70/329,824.05 = 72,138.70/x
  3. Step 3: Cross multiply
    219,882.70x = 329,824.05 × 72,138.70
  4. Step 4: Simplify right side
    219,882.70x = 23,793,078,195.74
  5. Step 5: Solve for x
    x = 23,793,078,195.74/219,882.70
  6. Step 6: Final answer
    x = 108,208.05

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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.