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Finding the Fourth Proportional to 219,308.22, 328,697.26 and 106,819.88

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Solution

The fourth proportional to 219,308.22, 328,697.26 and 106,819.88 is: 160,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,308.22 : 328,697.26 = 106,819.88 : x
  2. Step 2: Convert to fraction form
    219,308.22/328,697.26 = 106,819.88/x
  3. Step 3: Cross multiply
    219,308.22x = 328,697.26 × 106,819.88
  4. Step 4: Simplify right side
    219,308.22x = 35,111,399,958.99
  5. Step 5: Solve for x
    x = 35,111,399,958.99/219,308.22
  6. Step 6: Final answer
    x = 160,100.70

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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.