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Finding the Fourth Proportional to 206,786.88, 310,010.80 and 73,591.29

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Solution

The fourth proportional to 206,786.88, 310,010.80 and 73,591.29 is: 110,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,786.88 : 310,010.80 = 73,591.29 : x
  2. Step 2: Convert to fraction form
    206,786.88/310,010.80 = 73,591.29/x
  3. Step 3: Cross multiply
    206,786.88x = 310,010.80 × 73,591.29
  4. Step 4: Simplify right side
    206,786.88x = 22,814,094,501.95
  5. Step 5: Solve for x
    x = 22,814,094,501.95/206,786.88
  6. Step 6: Final answer
    x = 110,326.61

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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.