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Finding the Fourth Proportional to 298,231.26, 447,208.65 and 111,192.54

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Solution

The fourth proportional to 298,231.26, 447,208.65 and 111,192.54 is: 166,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,231.26 : 447,208.65 = 111,192.54 : x
  2. Step 2: Convert to fraction form
    298,231.26/447,208.65 = 111,192.54/x
  3. Step 3: Cross multiply
    298,231.26x = 447,208.65 × 111,192.54
  4. Step 4: Simplify right side
    298,231.26x = 49,726,265,703.47
  5. Step 5: Solve for x
    x = 49,726,265,703.47/298,231.26
  6. Step 6: Final answer
    x = 166,737.27

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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.