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Finding the Fourth Proportional to 175,884, 263,826 and 44,556

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Solution

The fourth proportional to 175,884, 263,826 and 44,556 is: 66,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,884 : 263,826 = 44,556 : x
  2. Step 2: Convert to fraction form
    175,884/263,826 = 44,556/x
  3. Step 3: Cross multiply
    175,884x = 263,826 × 44,556
  4. Step 4: Simplify right side
    175,884x = 11,755,031,256
  5. Step 5: Solve for x
    x = 11,755,031,256/175,884
  6. Step 6: Final answer
    x = 66,834

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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.