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Finding the Fourth Proportional to 217,706.57, 326,563.31 and 82,772.69

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Solution

The fourth proportional to 217,706.57, 326,563.31 and 82,772.69 is: 124,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706.57 : 326,563.31 = 82,772.69 : x
  2. Step 2: Convert to fraction form
    217,706.57/326,563.31 = 82,772.69/x
  3. Step 3: Cross multiply
    217,706.57x = 326,563.31 × 82,772.69
  4. Step 4: Simplify right side
    217,706.57x = 27,030,523,624.00
  5. Step 5: Solve for x
    x = 27,030,523,624.00/217,706.57
  6. Step 6: Final answer
    x = 124,160.35

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1.5x scale

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.