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Finding the Fourth Proportional to 166,709.92, 250,090.80 and 55,876

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Solution

The fourth proportional to 166,709.92, 250,090.80 and 55,876 is: 83,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,709.92 : 250,090.80 = 55,876 : x
  2. Step 2: Convert to fraction form
    166,709.92/250,090.80 = 55,876/x
  3. Step 3: Cross multiply
    166,709.92x = 250,090.80 × 55,876
  4. Step 4: Simplify right side
    166,709.92x = 13,974,073,540.80
  5. Step 5: Solve for x
    x = 13,974,073,540.80/166,709.92
  6. Step 6: Final answer
    x = 83,822.69

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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.