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Finding the Fourth Proportional to 212,716.20, 319,052.70 and 72,472.80

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Solution

The fourth proportional to 212,716.20, 319,052.70 and 72,472.80 is: 108,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716.20 : 319,052.70 = 72,472.80 : x
  2. Step 2: Convert to fraction form
    212,716.20/319,052.70 = 72,472.80/x
  3. Step 3: Cross multiply
    212,716.20x = 319,052.70 × 72,472.80
  4. Step 4: Simplify right side
    212,716.20x = 23,122,642,516.56
  5. Step 5: Solve for x
    x = 23,122,642,516.56/212,716.20
  6. Step 6: Final answer
    x = 108,701.84

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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.