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Finding the Fourth Proportional to 194,571, 268,508.34 and 105,147

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Solution

The fourth proportional to 194,571, 268,508.34 and 105,147 is: 145,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,571 : 268,508.34 = 105,147 : x
  2. Step 2: Convert to fraction form
    194,571/268,508.34 = 105,147/x
  3. Step 3: Cross multiply
    194,571x = 268,508.34 × 105,147
  4. Step 4: Simplify right side
    194,571x = 28,232,846,425.98
  5. Step 5: Solve for x
    x = 28,232,846,425.98/194,571
  6. Step 6: Final answer
    x = 145,103.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.