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Finding the Fourth Proportional to 298,827.82, 448,274.54 and 149,105.80

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Solution

The fourth proportional to 298,827.82, 448,274.54 and 149,105.80 is: 223,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,827.82 : 448,274.54 = 149,105.80 : x
  2. Step 2: Convert to fraction form
    298,827.82/448,274.54 = 149,105.80/x
  3. Step 3: Cross multiply
    298,827.82x = 448,274.54 × 149,105.80
  4. Step 4: Simplify right side
    298,827.82x = 66,840,333,906.33
  5. Step 5: Solve for x
    x = 66,840,333,906.33/298,827.82
  6. Step 6: Final answer
    x = 223,675.07

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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.