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Finding the Fourth Proportional to 129,523.70, 194,103.30 and 102,915.20

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Solution

The fourth proportional to 129,523.70, 194,103.30 and 102,915.20 is: 154,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,523.70 : 194,103.30 = 102,915.20 : x
  2. Step 2: Convert to fraction form
    129,523.70/194,103.30 = 102,915.20/x
  3. Step 3: Cross multiply
    129,523.70x = 194,103.30 × 102,915.20
  4. Step 4: Simplify right side
    129,523.70x = 19,976,179,940.16
  5. Step 5: Solve for x
    x = 19,976,179,940.16/129,523.70
  6. Step 6: Final answer
    x = 154,227.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.