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Finding the Fourth Proportional to 274,617.75, 411,965.61 and 85,093.01

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Solution

The fourth proportional to 274,617.75, 411,965.61 and 85,093.01 is: 127,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,617.75 : 411,965.61 = 85,093.01 : x
  2. Step 2: Convert to fraction form
    274,617.75/411,965.61 = 85,093.01/x
  3. Step 3: Cross multiply
    274,617.75x = 411,965.61 × 85,093.01
  4. Step 4: Simplify right side
    274,617.75x = 35,055,393,771.39
  5. Step 5: Solve for x
    x = 35,055,393,771.39/274,617.75
  6. Step 6: Final answer
    x = 127,651.59

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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.