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Finding the Fourth Proportional to 129,896.85, 194,913.72 and 92,189.73

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Solution

The fourth proportional to 129,896.85, 194,913.72 and 92,189.73 is: 138,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896.85 : 194,913.72 = 92,189.73 : x
  2. Step 2: Convert to fraction form
    129,896.85/194,913.72 = 92,189.73/x
  3. Step 3: Cross multiply
    129,896.85x = 194,913.72 × 92,189.73
  4. Step 4: Simplify right side
    129,896.85x = 17,969,043,220.10
  5. Step 5: Solve for x
    x = 17,969,043,220.10/129,896.85
  6. Step 6: Final answer
    x = 138,333.17

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1.5x scale

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.