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Finding the Fourth Proportional to 274,092.96, 411,166.80 and 74,416.56

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Solution

The fourth proportional to 274,092.96, 411,166.80 and 74,416.56 is: 111,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,092.96 : 411,166.80 = 74,416.56 : x
  2. Step 2: Convert to fraction form
    274,092.96/411,166.80 = 74,416.56/x
  3. Step 3: Cross multiply
    274,092.96x = 411,166.80 × 74,416.56
  4. Step 4: Simplify right side
    274,092.96x = 30,597,618,842.21
  5. Step 5: Solve for x
    x = 30,597,618,842.21/274,092.96
  6. Step 6: Final answer
    x = 111,632.27

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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.