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Finding the Fourth Proportional to 234,893.52, 352,103.76 and 135,023.76

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Solution

The fourth proportional to 234,893.52, 352,103.76 and 135,023.76 is: 202,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,893.52 : 352,103.76 = 135,023.76 : x
  2. Step 2: Convert to fraction form
    234,893.52/352,103.76 = 135,023.76/x
  3. Step 3: Cross multiply
    234,893.52x = 352,103.76 × 135,023.76
  4. Step 4: Simplify right side
    234,893.52x = 47,542,373,585.34
  5. Step 5: Solve for x
    x = 47,542,373,585.34/234,893.52
  6. Step 6: Final answer
    x = 202,399.68

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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.