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Finding the Fourth Proportional to 192,514.68, 288,739.22 and 52,240.50

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Solution

The fourth proportional to 192,514.68, 288,739.22 and 52,240.50 is: 78,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,514.68 : 288,739.22 = 52,240.50 : x
  2. Step 2: Convert to fraction form
    192,514.68/288,739.22 = 52,240.50/x
  3. Step 3: Cross multiply
    192,514.68x = 288,739.22 × 52,240.50
  4. Step 4: Simplify right side
    192,514.68x = 15,083,880,961.21
  5. Step 5: Solve for x
    x = 15,083,880,961.21/192,514.68
  6. Step 6: Final answer
    x = 78,351.85

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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.