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Finding the Fourth Proportional to 422,101.70, 632,922.90 and 152,193.09

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Solution

The fourth proportional to 422,101.70, 632,922.90 and 152,193.09 is: 228,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,101.70 : 632,922.90 = 152,193.09 : x
  2. Step 2: Convert to fraction form
    422,101.70/632,922.90 = 152,193.09/x
  3. Step 3: Cross multiply
    422,101.70x = 632,922.90 × 152,193.09
  4. Step 4: Simplify right side
    422,101.70x = 96,326,491,882.76
  5. Step 5: Solve for x
    x = 96,326,491,882.76/422,101.70
  6. Step 6: Final answer
    x = 228,206.83

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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.