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Finding the Fourth Proportional to 214,609.50, 321,836.49 and 96,219.90

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Solution

The fourth proportional to 214,609.50, 321,836.49 and 96,219.90 is: 144,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.50 : 321,836.49 = 96,219.90 : x
  2. Step 2: Convert to fraction form
    214,609.50/321,836.49 = 96,219.90/x
  3. Step 3: Cross multiply
    214,609.50x = 321,836.49 × 96,219.90
  4. Step 4: Simplify right side
    214,609.50x = 30,967,074,884.15
  5. Step 5: Solve for x
    x = 30,967,074,884.15/214,609.50
  6. Step 6: Final answer
    x = 144,294.99

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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.