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Finding the Fourth Proportional to 167,874.30, 251,738.55 and 55,511.10

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Solution

The fourth proportional to 167,874.30, 251,738.55 and 55,511.10 is: 83,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,874.30 : 251,738.55 = 55,511.10 : x
  2. Step 2: Convert to fraction form
    167,874.30/251,738.55 = 55,511.10/x
  3. Step 3: Cross multiply
    167,874.30x = 251,738.55 × 55,511.10
  4. Step 4: Simplify right side
    167,874.30x = 13,974,283,822.91
  5. Step 5: Solve for x
    x = 13,974,283,822.91/167,874.30
  6. Step 6: Final answer
    x = 83,242.54

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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.