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Finding the Fourth Proportional to 137,481.86, 206,189.94 and 100,477.82

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Solution

The fourth proportional to 137,481.86, 206,189.94 and 100,477.82 is: 150,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,481.86 : 206,189.94 = 100,477.82 : x
  2. Step 2: Convert to fraction form
    137,481.86/206,189.94 = 100,477.82/x
  3. Step 3: Cross multiply
    137,481.86x = 206,189.94 × 100,477.82
  4. Step 4: Simplify right side
    137,481.86x = 20,717,515,677.13
  5. Step 5: Solve for x
    x = 20,717,515,677.13/137,481.86
  6. Step 6: Final answer
    x = 150,692.72

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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.