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Finding the Fourth Proportional to 132,732.34, 198,630.60 and 82,835.80

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Solution

The fourth proportional to 132,732.34, 198,630.60 and 82,835.80 is: 123,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,732.34 : 198,630.60 = 82,835.80 : x
  2. Step 2: Convert to fraction form
    132,732.34/198,630.60 = 82,835.80/x
  3. Step 3: Cross multiply
    132,732.34x = 198,630.60 × 82,835.80
  4. Step 4: Simplify right side
    132,732.34x = 16,453,724,655.48
  5. Step 5: Solve for x
    x = 16,453,724,655.48/132,732.34
  6. Step 6: Final answer
    x = 123,961.69

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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.