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Finding the Fourth Proportional to 264,133.44, 396,161.04 and 86,659.20

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Solution

The fourth proportional to 264,133.44, 396,161.04 and 86,659.20 is: 129,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,133.44 : 396,161.04 = 86,659.20 : x
  2. Step 2: Convert to fraction form
    264,133.44/396,161.04 = 86,659.20/x
  3. Step 3: Cross multiply
    264,133.44x = 396,161.04 × 86,659.20
  4. Step 4: Simplify right side
    264,133.44x = 34,330,998,797.57
  5. Step 5: Solve for x
    x = 34,330,998,797.57/264,133.44
  6. Step 6: Final answer
    x = 129,975.97

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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.