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Finding the Fourth Proportional to 264,757.44, 397,135.68 and 114,978.24

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Solution

The fourth proportional to 264,757.44, 397,135.68 and 114,978.24 is: 172,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,757.44 : 397,135.68 = 114,978.24 : x
  2. Step 2: Convert to fraction form
    264,757.44/397,135.68 = 114,978.24/x
  3. Step 3: Cross multiply
    264,757.44x = 397,135.68 × 114,978.24
  4. Step 4: Simplify right side
    264,757.44x = 45,661,961,527.60
  5. Step 5: Solve for x
    x = 45,661,961,527.60/264,757.44
  6. Step 6: Final answer
    x = 172,467.15

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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.