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Finding the Fourth Proportional to 274,835.36, 412,232.88 and 87,796.64

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Solution

The fourth proportional to 274,835.36, 412,232.88 and 87,796.64 is: 131,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,835.36 : 412,232.88 = 87,796.64 : x
  2. Step 2: Convert to fraction form
    274,835.36/412,232.88 = 87,796.64/x
  3. Step 3: Cross multiply
    274,835.36x = 412,232.88 × 87,796.64
  4. Step 4: Simplify right side
    274,835.36x = 36,192,661,761.52
  5. Step 5: Solve for x
    x = 36,192,661,761.52/274,835.36
  6. Step 6: Final answer
    x = 131,688.52

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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.