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Finding the Fourth Proportional to 129,860.98, 194,797.02 and 50,992.30

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Solution

The fourth proportional to 129,860.98, 194,797.02 and 50,992.30 is: 76,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,860.98 : 194,797.02 = 50,992.30 : x
  2. Step 2: Convert to fraction form
    129,860.98/194,797.02 = 50,992.30/x
  3. Step 3: Cross multiply
    129,860.98x = 194,797.02 × 50,992.30
  4. Step 4: Simplify right side
    129,860.98x = 9,933,148,082.95
  5. Step 5: Solve for x
    x = 9,933,148,082.95/129,860.98
  6. Step 6: Final answer
    x = 76,490.63

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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.