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Finding the Fourth Proportional to 225,664.44, 338,501.46 and 75,909.24

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Solution

The fourth proportional to 225,664.44, 338,501.46 and 75,909.24 is: 113,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664.44 : 338,501.46 = 75,909.24 : x
  2. Step 2: Convert to fraction form
    225,664.44/338,501.46 = 75,909.24/x
  3. Step 3: Cross multiply
    225,664.44x = 338,501.46 × 75,909.24
  4. Step 4: Simplify right side
    225,664.44x = 25,695,388,567.49
  5. Step 5: Solve for x
    x = 25,695,388,567.49/225,664.44
  6. Step 6: Final answer
    x = 113,865.47

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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.