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Finding the Fourth Proportional to 129,849.49, 194,781.32 and 41,096.37

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Solution

The fourth proportional to 129,849.49, 194,781.32 and 41,096.37 is: 61,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,849.49 : 194,781.32 = 41,096.37 : x
  2. Step 2: Convert to fraction form
    129,849.49/194,781.32 = 41,096.37/x
  3. Step 3: Cross multiply
    129,849.49x = 194,781.32 × 41,096.37
  4. Step 4: Simplify right side
    129,849.49x = 8,004,804,990.33
  5. Step 5: Solve for x
    x = 8,004,804,990.33/129,849.49
  6. Step 6: Final answer
    x = 61,646.80

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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.