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Finding the Fourth Proportional to 422,101.95, 633,185.87 and 122,587.44

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Solution

The fourth proportional to 422,101.95, 633,185.87 and 122,587.44 is: 183,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,101.95 : 633,185.87 = 122,587.44 : x
  2. Step 2: Convert to fraction form
    422,101.95/633,185.87 = 122,587.44/x
  3. Step 3: Cross multiply
    422,101.95x = 633,185.87 × 122,587.44
  4. Step 4: Simplify right side
    422,101.95x = 77,620,634,234.54
  5. Step 5: Solve for x
    x = 77,620,634,234.54/422,101.95
  6. Step 6: Final answer
    x = 183,890.73

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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.