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Finding the Fourth Proportional to 217,751.46, 299,874.87 and 196,056.42

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Solution

The fourth proportional to 217,751.46, 299,874.87 and 196,056.42 is: 269,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,751.46 : 299,874.87 = 196,056.42 : x
  2. Step 2: Convert to fraction form
    217,751.46/299,874.87 = 196,056.42/x
  3. Step 3: Cross multiply
    217,751.46x = 299,874.87 × 196,056.42
  4. Step 4: Simplify right side
    217,751.46x = 58,792,393,460.17
  5. Step 5: Solve for x
    x = 58,792,393,460.17/217,751.46
  6. Step 6: Final answer
    x = 269,997.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.