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Finding the Fourth Proportional to 225,600.84, 338,388.80 and 75,825.67

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Solution

The fourth proportional to 225,600.84, 338,388.80 and 75,825.67 is: 113,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,600.84 : 338,388.80 = 75,825.67 : x
  2. Step 2: Convert to fraction form
    225,600.84/338,388.80 = 75,825.67/x
  3. Step 3: Cross multiply
    225,600.84x = 338,388.80 × 75,825.67
  4. Step 4: Simplify right side
    225,600.84x = 25,658,557,480.50
  5. Step 5: Solve for x
    x = 25,658,557,480.50/225,600.84
  6. Step 6: Final answer
    x = 113,734.32

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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.