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Finding the Fourth Proportional to 80,729.80, 121,094.70 and 51,205.30

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Solution

The fourth proportional to 80,729.80, 121,094.70 and 51,205.30 is: 76,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,729.80 : 121,094.70 = 51,205.30 : x
  2. Step 2: Convert to fraction form
    80,729.80/121,094.70 = 51,205.30/x
  3. Step 3: Cross multiply
    80,729.80x = 121,094.70 × 51,205.30
  4. Step 4: Simplify right side
    80,729.80x = 6,200,690,441.91
  5. Step 5: Solve for x
    x = 6,200,690,441.91/80,729.80
  6. Step 6: Final answer
    x = 76,807.95

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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.