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Finding the Fourth Proportional to 219,983.40, 329,910.30 and 86,819.40

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Solution

The fourth proportional to 219,983.40, 329,910.30 and 86,819.40 is: 130,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,983.40 : 329,910.30 = 86,819.40 : x
  2. Step 2: Convert to fraction form
    219,983.40/329,910.30 = 86,819.40/x
  3. Step 3: Cross multiply
    219,983.40x = 329,910.30 × 86,819.40
  4. Step 4: Simplify right side
    219,983.40x = 28,642,614,299.82
  5. Step 5: Solve for x
    x = 28,642,614,299.82/219,983.40
  6. Step 6: Final answer
    x = 130,203.53

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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.