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Finding the Fourth Proportional to 298,953.20, 448,192.99 and 149,116.37

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Solution

The fourth proportional to 298,953.20, 448,192.99 and 149,116.37 is: 223,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,953.20 : 448,192.99 = 149,116.37 : x
  2. Step 2: Convert to fraction form
    298,953.20/448,192.99 = 149,116.37/x
  3. Step 3: Cross multiply
    298,953.20x = 448,192.99 × 149,116.37
  4. Step 4: Simplify right side
    298,953.20x = 66,832,909,673.68
  5. Step 5: Solve for x
    x = 66,832,909,673.68/298,953.20
  6. Step 6: Final answer
    x = 223,556.43

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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.