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Finding the Fourth Proportional to 217,321.80, 325,982.70 and 164,833.80

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Solution

The fourth proportional to 217,321.80, 325,982.70 and 164,833.80 is: 247,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,321.80 : 325,982.70 = 164,833.80 : x
  2. Step 2: Convert to fraction form
    217,321.80/325,982.70 = 164,833.80/x
  3. Step 3: Cross multiply
    217,321.80x = 325,982.70 × 164,833.80
  4. Step 4: Simplify right side
    217,321.80x = 53,732,967,175.26
  5. Step 5: Solve for x
    x = 53,732,967,175.26/217,321.80
  6. Step 6: Final answer
    x = 247,250.70

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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.