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Finding the Fourth Proportional to 214,747.80, 322,121.70 and 202,500.60

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Solution

The fourth proportional to 214,747.80, 322,121.70 and 202,500.60 is: 303,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,747.80 : 322,121.70 = 202,500.60 : x
  2. Step 2: Convert to fraction form
    214,747.80/322,121.70 = 202,500.60/x
  3. Step 3: Cross multiply
    214,747.80x = 322,121.70 × 202,500.60
  4. Step 4: Simplify right side
    214,747.80x = 65,229,837,523.02
  5. Step 5: Solve for x
    x = 65,229,837,523.02/214,747.80
  6. Step 6: Final answer
    x = 303,750.90

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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.