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Finding the Fourth Proportional to 129,638, 194,450.50 and 50,766.68

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Solution

The fourth proportional to 129,638, 194,450.50 and 50,766.68 is: 76,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638 : 194,450.50 = 50,766.68 : x
  2. Step 2: Convert to fraction form
    129,638/194,450.50 = 50,766.68/x
  3. Step 3: Cross multiply
    129,638x = 194,450.50 × 50,766.68
  4. Step 4: Simplify right side
    129,638x = 9,871,606,309.34
  5. Step 5: Solve for x
    x = 9,871,606,309.34/129,638
  6. Step 6: Final answer
    x = 76,147.47

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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.