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Finding the Fourth Proportional to 214,891.40, 322,337.10 and 165,222.20

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Solution

The fourth proportional to 214,891.40, 322,337.10 and 165,222.20 is: 247,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.40 : 322,337.10 = 165,222.20 : x
  2. Step 2: Convert to fraction form
    214,891.40/322,337.10 = 165,222.20/x
  3. Step 3: Cross multiply
    214,891.40x = 322,337.10 × 165,222.20
  4. Step 4: Simplify right side
    214,891.40x = 53,257,244,803.62
  5. Step 5: Solve for x
    x = 53,257,244,803.62/214,891.40
  6. Step 6: Final answer
    x = 247,833.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.