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Finding the Fourth Proportional to 109,687.92, 164,511.07 and 53,471.49

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Solution

The fourth proportional to 109,687.92, 164,511.07 and 53,471.49 is: 80,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687.92 : 164,511.07 = 53,471.49 : x
  2. Step 2: Convert to fraction form
    109,687.92/164,511.07 = 53,471.49/x
  3. Step 3: Cross multiply
    109,687.92x = 164,511.07 × 53,471.49
  4. Step 4: Simplify right side
    109,687.92x = 8,796,652,209.17
  5. Step 5: Solve for x
    x = 8,796,652,209.17/109,687.92
  6. Step 6: Final answer
    x = 80,197.09

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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.