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Finding the Fourth Proportional to 260,313, 359,231.94 and 141,081

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Solution

The fourth proportional to 260,313, 359,231.94 and 141,081 is: 194,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,313 : 359,231.94 = 141,081 : x
  2. Step 2: Convert to fraction form
    260,313/359,231.94 = 141,081/x
  3. Step 3: Cross multiply
    260,313x = 359,231.94 × 141,081
  4. Step 4: Simplify right side
    260,313x = 50,680,801,327.14
  5. Step 5: Solve for x
    x = 50,680,801,327.14/260,313
  6. Step 6: Final answer
    x = 194,691.78

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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.