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Finding the Fourth Proportional to 132,236.92, 198,354.98 and 47,997

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Solution

The fourth proportional to 132,236.92, 198,354.98 and 47,997 is: 71,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,236.92 : 198,354.98 = 47,997 : x
  2. Step 2: Convert to fraction form
    132,236.92/198,354.98 = 47,997/x
  3. Step 3: Cross multiply
    132,236.92x = 198,354.98 × 47,997
  4. Step 4: Simplify right side
    132,236.92x = 9,520,443,975.06
  5. Step 5: Solve for x
    x = 9,520,443,975.06/132,236.92
  6. Step 6: Final answer
    x = 71,995.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.