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Finding the Fourth Proportional to 217,321.40, 325,982.10 and 143,449.40

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Solution

The fourth proportional to 217,321.40, 325,982.10 and 143,449.40 is: 215,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,321.40 : 325,982.10 = 143,449.40 : x
  2. Step 2: Convert to fraction form
    217,321.40/325,982.10 = 143,449.40/x
  3. Step 3: Cross multiply
    217,321.40x = 325,982.10 × 143,449.40
  4. Step 4: Simplify right side
    217,321.40x = 46,761,936,655.74
  5. Step 5: Solve for x
    x = 46,761,936,655.74/217,321.40
  6. Step 6: Final answer
    x = 215,174.10

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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.