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Finding the Fourth Proportional to 194,843, 268,883.34 and 105,419

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Solution

The fourth proportional to 194,843, 268,883.34 and 105,419 is: 145,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,843 : 268,883.34 = 105,419 : x
  2. Step 2: Convert to fraction form
    194,843/268,883.34 = 105,419/x
  3. Step 3: Cross multiply
    194,843x = 268,883.34 × 105,419
  4. Step 4: Simplify right side
    194,843x = 28,345,412,819.46
  5. Step 5: Solve for x
    x = 28,345,412,819.46/194,843
  6. Step 6: Final answer
    x = 145,478.22

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