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Finding the Fourth Proportional to 264,751.80, 397,198.10 and 114,927.80

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Solution

The fourth proportional to 264,751.80, 397,198.10 and 114,927.80 is: 172,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,751.80 : 397,198.10 = 114,927.80 : x
  2. Step 2: Convert to fraction form
    264,751.80/397,198.10 = 114,927.80/x
  3. Step 3: Cross multiply
    264,751.80x = 397,198.10 × 114,927.80
  4. Step 4: Simplify right side
    264,751.80x = 45,649,103,797.18
  5. Step 5: Solve for x
    x = 45,649,103,797.18/264,751.80
  6. Step 6: Final answer
    x = 172,422.26

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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.