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Finding the Fourth Proportional to 274,184.94, 411,311.26 and 133,837.50

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Solution

The fourth proportional to 274,184.94, 411,311.26 and 133,837.50 is: 200,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,184.94 : 411,311.26 = 133,837.50 : x
  2. Step 2: Convert to fraction form
    274,184.94/411,311.26 = 133,837.50/x
  3. Step 3: Cross multiply
    274,184.94x = 411,311.26 × 133,837.50
  4. Step 4: Simplify right side
    274,184.94x = 55,048,870,760.25
  5. Step 5: Solve for x
    x = 55,048,870,760.25/274,184.94
  6. Step 6: Final answer
    x = 200,772.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.