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Finding the Fourth Proportional to 270,092.46, 405,226.17 and 129,832.86

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Solution

The fourth proportional to 270,092.46, 405,226.17 and 129,832.86 is: 194,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,092.46 : 405,226.17 = 129,832.86 : x
  2. Step 2: Convert to fraction form
    270,092.46/405,226.17 = 129,832.86/x
  3. Step 3: Cross multiply
    270,092.46x = 405,226.17 × 129,832.86
  4. Step 4: Simplify right side
    270,092.46x = 52,611,672,597.95
  5. Step 5: Solve for x
    x = 52,611,672,597.95/270,092.46
  6. Step 6: Final answer
    x = 194,791.34

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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.