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Finding the Fourth Proportional to 274,537.20, 412,036.20 and 134,415.60

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Solution

The fourth proportional to 274,537.20, 412,036.20 and 134,415.60 is: 201,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,537.20 : 412,036.20 = 134,415.60 : x
  2. Step 2: Convert to fraction form
    274,537.20/412,036.20 = 134,415.60/x
  3. Step 3: Cross multiply
    274,537.20x = 412,036.20 × 134,415.60
  4. Step 4: Simplify right side
    274,537.20x = 55,384,093,044.72
  5. Step 5: Solve for x
    x = 55,384,093,044.72/274,537.20
  6. Step 6: Final answer
    x = 201,736.21

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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.