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Finding the Fourth Proportional to 192,654.92, 288,953.22 and 52,424.48

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Solution

The fourth proportional to 192,654.92, 288,953.22 and 52,424.48 is: 78,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,654.92 : 288,953.22 = 52,424.48 : x
  2. Step 2: Convert to fraction form
    192,654.92/288,953.22 = 52,424.48/x
  3. Step 3: Cross multiply
    192,654.92x = 288,953.22 × 52,424.48
  4. Step 4: Simplify right side
    192,654.92x = 15,148,222,302.83
  5. Step 5: Solve for x
    x = 15,148,222,302.83/192,654.92
  6. Step 6: Final answer
    x = 78,628.79

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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.