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Finding the Fourth Proportional to 274,186.76, 411,127.31 and 84,593.30

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Solution

The fourth proportional to 274,186.76, 411,127.31 and 84,593.30 is: 126,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,186.76 : 411,127.31 = 84,593.30 : x
  2. Step 2: Convert to fraction form
    274,186.76/411,127.31 = 84,593.30/x
  3. Step 3: Cross multiply
    274,186.76x = 411,127.31 × 84,593.30
  4. Step 4: Simplify right side
    274,186.76x = 34,778,614,028.87
  5. Step 5: Solve for x
    x = 34,778,614,028.87/274,186.76
  6. Step 6: Final answer
    x = 126,842.79

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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.