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Finding the Fourth Proportional to 129,434.54, 194,072.52 and 50,456.50

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Solution

The fourth proportional to 129,434.54, 194,072.52 and 50,456.50 is: 75,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,434.54 : 194,072.52 = 50,456.50 : x
  2. Step 2: Convert to fraction form
    129,434.54/194,072.52 = 50,456.50/x
  3. Step 3: Cross multiply
    129,434.54x = 194,072.52 × 50,456.50
  4. Step 4: Simplify right side
    129,434.54x = 9,792,220,105.38
  5. Step 5: Solve for x
    x = 9,792,220,105.38/129,434.54
  6. Step 6: Final answer
    x = 75,653.84

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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.