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Finding the Fourth Proportional to 271,768.09, 407,724.43 and 94,274.82

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Solution

The fourth proportional to 271,768.09, 407,724.43 and 94,274.82 is: 141,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,768.09 : 407,724.43 = 94,274.82 : x
  2. Step 2: Convert to fraction form
    271,768.09/407,724.43 = 94,274.82/x
  3. Step 3: Cross multiply
    271,768.09x = 407,724.43 × 94,274.82
  4. Step 4: Simplify right side
    271,768.09x = 38,438,147,247.85
  5. Step 5: Solve for x
    x = 38,438,147,247.85/271,768.09
  6. Step 6: Final answer
    x = 141,437.31

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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.