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Finding the Fourth Proportional to 230,819.90, 346,195.11 and 73,027.82

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Solution

The fourth proportional to 230,819.90, 346,195.11 and 73,027.82 is: 109,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,819.90 : 346,195.11 = 73,027.82 : x
  2. Step 2: Convert to fraction form
    230,819.90/346,195.11 = 73,027.82/x
  3. Step 3: Cross multiply
    230,819.90x = 346,195.11 × 73,027.82
  4. Step 4: Simplify right side
    230,819.90x = 25,281,874,177.96
  5. Step 5: Solve for x
    x = 25,281,874,177.96/230,819.90
  6. Step 6: Final answer
    x = 109,530.74

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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.