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Finding the Fourth Proportional to 214,873.20, 322,309.80 and 165,049.20

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Solution

The fourth proportional to 214,873.20, 322,309.80 and 165,049.20 is: 247,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,873.20 : 322,309.80 = 165,049.20 : x
  2. Step 2: Convert to fraction form
    214,873.20/322,309.80 = 165,049.20/x
  3. Step 3: Cross multiply
    214,873.20x = 322,309.80 × 165,049.20
  4. Step 4: Simplify right side
    214,873.20x = 53,196,974,642.16
  5. Step 5: Solve for x
    x = 53,196,974,642.16/214,873.20
  6. Step 6: Final answer
    x = 247,573.80

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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.