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Finding the Fourth Proportional to 214,532.11, 321,850.19 and 64,763.46

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Solution

The fourth proportional to 214,532.11, 321,850.19 and 64,763.46 is: 97,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532.11 : 321,850.19 = 64,763.46 : x
  2. Step 2: Convert to fraction form
    214,532.11/321,850.19 = 64,763.46/x
  3. Step 3: Cross multiply
    214,532.11x = 321,850.19 × 64,763.46
  4. Step 4: Simplify right side
    214,532.11x = 20,844,132,067.97
  5. Step 5: Solve for x
    x = 20,844,132,067.97/214,532.11
  6. Step 6: Final answer
    x = 97,160.90

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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.