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Finding the Fourth Proportional to 200,748.80, 301,123.20 and 67,584.80

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Solution

The fourth proportional to 200,748.80, 301,123.20 and 67,584.80 is: 101,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.80 : 301,123.20 = 67,584.80 : x
  2. Step 2: Convert to fraction form
    200,748.80/301,123.20 = 67,584.80/x
  3. Step 3: Cross multiply
    200,748.80x = 301,123.20 × 67,584.80
  4. Step 4: Simplify right side
    200,748.80x = 20,351,351,247.36
  5. Step 5: Solve for x
    x = 20,351,351,247.36/200,748.80
  6. Step 6: Final answer
    x = 101,377.20

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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.