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Finding the Fourth Proportional to 137,851.50, 206,593.29 and 73,678.09

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Solution

The fourth proportional to 137,851.50, 206,593.29 and 73,678.09 is: 110,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.50 : 206,593.29 = 73,678.09 : x
  2. Step 2: Convert to fraction form
    137,851.50/206,593.29 = 73,678.09/x
  3. Step 3: Cross multiply
    137,851.50x = 206,593.29 × 73,678.09
  4. Step 4: Simplify right side
    137,851.50x = 15,221,399,014.02
  5. Step 5: Solve for x
    x = 15,221,399,014.02/137,851.50
  6. Step 6: Final answer
    x = 110,418.81

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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.