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Finding the Fourth Proportional to 87,196.91, 120,295.02 and 54,874.26

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Solution

The fourth proportional to 87,196.91, 120,295.02 and 54,874.26 is: 75,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,196.91 : 120,295.02 = 54,874.26 : x
  2. Step 2: Convert to fraction form
    87,196.91/120,295.02 = 54,874.26/x
  3. Step 3: Cross multiply
    87,196.91x = 120,295.02 × 54,874.26
  4. Step 4: Simplify right side
    87,196.91x = 6,601,100,409.96
  5. Step 5: Solve for x
    x = 6,601,100,409.96/87,196.91
  6. Step 6: Final answer
    x = 75,703.38

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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.