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Finding the Fourth Proportional to 137,480.86, 206,188.44 and 100,476.82

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Solution

The fourth proportional to 137,480.86, 206,188.44 and 100,476.82 is: 150,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,480.86 : 206,188.44 = 100,476.82 : x
  2. Step 2: Convert to fraction form
    137,480.86/206,188.44 = 100,476.82/x
  3. Step 3: Cross multiply
    137,480.86x = 206,188.44 × 100,476.82
  4. Step 4: Simplify right side
    137,480.86x = 20,717,158,771.96
  5. Step 5: Solve for x
    x = 20,717,158,771.96/137,480.86
  6. Step 6: Final answer
    x = 150,691.22

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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.