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Finding the Fourth Proportional to 129,915, 194,872.68 and 31,419

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Solution

The fourth proportional to 129,915, 194,872.68 and 31,419 is: 47,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,915 : 194,872.68 = 31,419 : x
  2. Step 2: Convert to fraction form
    129,915/194,872.68 = 31,419/x
  3. Step 3: Cross multiply
    129,915x = 194,872.68 × 31,419
  4. Step 4: Simplify right side
    129,915x = 6,122,704,732.92
  5. Step 5: Solve for x
    x = 6,122,704,732.92/129,915
  6. Step 6: Final answer
    x = 47,128.54

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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.