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Finding the Fourth Proportional to 192,442.78, 288,925.95 and 108,262.19

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Solution

The fourth proportional to 192,442.78, 288,925.95 and 108,262.19 is: 162,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,442.78 : 288,925.95 = 108,262.19 : x
  2. Step 2: Convert to fraction form
    192,442.78/288,925.95 = 108,262.19/x
  3. Step 3: Cross multiply
    192,442.78x = 288,925.95 × 108,262.19
  4. Step 4: Simplify right side
    192,442.78x = 31,279,755,597.92
  5. Step 5: Solve for x
    x = 31,279,755,597.92/192,442.78
  6. Step 6: Final answer
    x = 162,540.55

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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.