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Finding the Fourth Proportional to 192,714.66, 288,905.87 and 74,468.97

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Solution

The fourth proportional to 192,714.66, 288,905.87 and 74,468.97 is: 111,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,714.66 : 288,905.87 = 74,468.97 : x
  2. Step 2: Convert to fraction form
    192,714.66/288,905.87 = 74,468.97/x
  3. Step 3: Cross multiply
    192,714.66x = 288,905.87 × 74,468.97
  4. Step 4: Simplify right side
    192,714.66x = 21,514,522,752.03
  5. Step 5: Solve for x
    x = 21,514,522,752.03/192,714.66
  6. Step 6: Final answer
    x = 111,639.26

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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.