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Finding the Fourth Proportional to 194,755, 268,761.92 and 105,331

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Solution

The fourth proportional to 194,755, 268,761.92 and 105,331 is: 145,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,755 : 268,761.92 = 105,331 : x
  2. Step 2: Convert to fraction form
    194,755/268,761.92 = 105,331/x
  3. Step 3: Cross multiply
    194,755x = 268,761.92 × 105,331
  4. Step 4: Simplify right side
    194,755x = 28,308,961,795.52
  5. Step 5: Solve for x
    x = 28,308,961,795.52/194,755
  6. Step 6: Final answer
    x = 145,356.79

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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.