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Finding the Fourth Proportional to 225,600.40, 338,388.15 and 75,825.24

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Solution

The fourth proportional to 225,600.40, 338,388.15 and 75,825.24 is: 113,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,600.40 : 338,388.15 = 75,825.24 : x
  2. Step 2: Convert to fraction form
    225,600.40/338,388.15 = 75,825.24/x
  3. Step 3: Cross multiply
    225,600.40x = 338,388.15 × 75,825.24
  4. Step 4: Simplify right side
    225,600.40x = 25,658,362,686.91
  5. Step 5: Solve for x
    x = 25,658,362,686.91/225,600.40
  6. Step 6: Final answer
    x = 113,733.68

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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.