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Finding the Fourth Proportional to 174,513.92, 261,744.96 and 63,680

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Solution

The fourth proportional to 174,513.92, 261,744.96 and 63,680 is: 95,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,513.92 : 261,744.96 = 63,680 : x
  2. Step 2: Convert to fraction form
    174,513.92/261,744.96 = 63,680/x
  3. Step 3: Cross multiply
    174,513.92x = 261,744.96 × 63,680
  4. Step 4: Simplify right side
    174,513.92x = 16,667,919,052.80
  5. Step 5: Solve for x
    x = 16,667,919,052.80/174,513.92
  6. Step 6: Final answer
    x = 95,510.54

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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.