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Finding the Fourth Proportional to 264,797.26, 397,192.42 and 65,119.39

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Solution

The fourth proportional to 264,797.26, 397,192.42 and 65,119.39 is: 97,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,797.26 : 397,192.42 = 65,119.39 : x
  2. Step 2: Convert to fraction form
    264,797.26/397,192.42 = 65,119.39/x
  3. Step 3: Cross multiply
    264,797.26x = 397,192.42 × 65,119.39
  4. Step 4: Simplify right side
    264,797.26x = 25,864,928,103.02
  5. Step 5: Solve for x
    x = 25,864,928,103.02/264,797.26
  6. Step 6: Final answer
    x = 97,678.23

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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.