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Finding the Fourth Proportional to 129,434.04, 194,071.78 and 50,456

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Solution

The fourth proportional to 129,434.04, 194,071.78 and 50,456 is: 75,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,434.04 : 194,071.78 = 50,456 : x
  2. Step 2: Convert to fraction form
    129,434.04/194,071.78 = 50,456/x
  3. Step 3: Cross multiply
    129,434.04x = 194,071.78 × 50,456
  4. Step 4: Simplify right side
    129,434.04x = 9,792,085,479.40
  5. Step 5: Solve for x
    x = 9,792,085,479.40/129,434.04
  6. Step 6: Final answer
    x = 75,653.09

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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.