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Finding the Fourth Proportional to 129,898.20, 194,847.30 and 110,871.30

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Solution

The fourth proportional to 129,898.20, 194,847.30 and 110,871.30 is: 166,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,898.20 : 194,847.30 = 110,871.30 : x
  2. Step 2: Convert to fraction form
    129,898.20/194,847.30 = 110,871.30/x
  3. Step 3: Cross multiply
    129,898.20x = 194,847.30 × 110,871.30
  4. Step 4: Simplify right side
    129,898.20x = 21,602,973,452.49
  5. Step 5: Solve for x
    x = 21,602,973,452.49/129,898.20
  6. Step 6: Final answer
    x = 166,306.95

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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.