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Finding the Fourth Proportional to 132,235.92, 198,353.48 and 47,996

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Solution

The fourth proportional to 132,235.92, 198,353.48 and 47,996 is: 71,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,235.92 : 198,353.48 = 47,996 : x
  2. Step 2: Convert to fraction form
    132,235.92/198,353.48 = 47,996/x
  3. Step 3: Cross multiply
    132,235.92x = 198,353.48 × 47,996
  4. Step 4: Simplify right side
    132,235.92x = 9,520,173,626.08
  5. Step 5: Solve for x
    x = 9,520,173,626.08/132,235.92
  6. Step 6: Final answer
    x = 71,993.85

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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.