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Finding the Fourth Proportional to 274,173.44, 411,294 and 133,826

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Solution

The fourth proportional to 274,173.44, 411,294 and 133,826 is: 200,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,173.44 : 411,294 = 133,826 : x
  2. Step 2: Convert to fraction form
    274,173.44/411,294 = 133,826/x
  3. Step 3: Cross multiply
    274,173.44x = 411,294 × 133,826
  4. Step 4: Simplify right side
    274,173.44x = 55,041,830,844
  5. Step 5: Solve for x
    x = 55,041,830,844/274,173.44
  6. Step 6: Final answer
    x = 200,755.52

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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.