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Finding the Fourth Proportional to 147,753.86, 203,910.25 and 82,352.86

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Solution

The fourth proportional to 147,753.86, 203,910.25 and 82,352.86 is: 113,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,753.86 : 203,910.25 = 82,352.86 : x
  2. Step 2: Convert to fraction form
    147,753.86/203,910.25 = 82,352.86/x
  3. Step 3: Cross multiply
    147,753.86x = 203,910.25 × 82,352.86
  4. Step 4: Simplify right side
    147,753.86x = 16,792,592,474.23
  5. Step 5: Solve for x
    x = 16,792,592,474.23/147,753.86
  6. Step 6: Final answer
    x = 113,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.