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Finding the Fourth Proportional to 185,213.81, 277,839.32 and 50,280.17

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Solution

The fourth proportional to 185,213.81, 277,839.32 and 50,280.17 is: 75,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,213.81 : 277,839.32 = 50,280.17 : x
  2. Step 2: Convert to fraction form
    185,213.81/277,839.32 = 50,280.17/x
  3. Step 3: Cross multiply
    185,213.81x = 277,839.32 × 50,280.17
  4. Step 4: Simplify right side
    185,213.81x = 13,969,806,601.69
  5. Step 5: Solve for x
    x = 13,969,806,601.69/185,213.81
  6. Step 6: Final answer
    x = 75,425.30

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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.