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Finding the Fourth Proportional to 167,196.50, 250,742.06 and 54,850.54

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Solution

The fourth proportional to 167,196.50, 250,742.06 and 54,850.54 is: 82,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,196.50 : 250,742.06 = 54,850.54 : x
  2. Step 2: Convert to fraction form
    167,196.50/250,742.06 = 54,850.54/x
  3. Step 3: Cross multiply
    167,196.50x = 250,742.06 × 54,850.54
  4. Step 4: Simplify right side
    167,196.50x = 13,753,336,477.75
  5. Step 5: Solve for x
    x = 13,753,336,477.75/167,196.50
  6. Step 6: Final answer
    x = 82,258.52

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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.