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Finding the Fourth Proportional to 162,826.70, 224,714.82 and 91,221.44

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Solution

The fourth proportional to 162,826.70, 224,714.82 and 91,221.44 is: 125,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,826.70 : 224,714.82 = 91,221.44 : x
  2. Step 2: Convert to fraction form
    162,826.70/224,714.82 = 91,221.44/x
  3. Step 3: Cross multiply
    162,826.70x = 224,714.82 × 91,221.44
  4. Step 4: Simplify right side
    162,826.70x = 20,498,809,469.74
  5. Step 5: Solve for x
    x = 20,498,809,469.74/162,826.70
  6. Step 6: Final answer
    x = 125,893.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.