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Finding the Fourth Proportional to 215,617.20, 323,425.80 and 194,881.20

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Solution

The fourth proportional to 215,617.20, 323,425.80 and 194,881.20 is: 292,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,617.20 : 323,425.80 = 194,881.20 : x
  2. Step 2: Convert to fraction form
    215,617.20/323,425.80 = 194,881.20/x
  3. Step 3: Cross multiply
    215,617.20x = 323,425.80 × 194,881.20
  4. Step 4: Simplify right side
    215,617.20x = 63,029,608,014.96
  5. Step 5: Solve for x
    x = 63,029,608,014.96/215,617.20
  6. Step 6: Final answer
    x = 292,321.80

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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.