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Finding the Fourth Proportional to 264,754.57, 397,131.25 and 114,975.45

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Solution

The fourth proportional to 264,754.57, 397,131.25 and 114,975.45 is: 172,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,754.57 : 397,131.25 = 114,975.45 : x
  2. Step 2: Convert to fraction form
    264,754.57/397,131.25 = 114,975.45/x
  3. Step 3: Cross multiply
    264,754.57x = 397,131.25 × 114,975.45
  4. Step 4: Simplify right side
    264,754.57x = 45,660,344,177.81
  5. Step 5: Solve for x
    x = 45,660,344,177.81/264,754.57
  6. Step 6: Final answer
    x = 172,462.91

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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.