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Finding the Fourth Proportional to 212,797.14, 319,195.92 and 52,872.90

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Solution

The fourth proportional to 212,797.14, 319,195.92 and 52,872.90 is: 79,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,797.14 : 319,195.92 = 52,872.90 : x
  2. Step 2: Convert to fraction form
    212,797.14/319,195.92 = 52,872.90/x
  3. Step 3: Cross multiply
    212,797.14x = 319,195.92 × 52,872.90
  4. Step 4: Simplify right side
    212,797.14x = 16,876,813,958.57
  5. Step 5: Solve for x
    x = 16,876,813,958.57/212,797.14
  6. Step 6: Final answer
    x = 79,309.40

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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.