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Finding the Fourth Proportional to 192,905.32, 289,067.39 and 171,883.01

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Solution

The fourth proportional to 192,905.32, 289,067.39 and 171,883.01 is: 257,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,905.32 : 289,067.39 = 171,883.01 : x
  2. Step 2: Convert to fraction form
    192,905.32/289,067.39 = 171,883.01/x
  3. Step 3: Cross multiply
    192,905.32x = 289,067.39 × 171,883.01
  4. Step 4: Simplify right side
    192,905.32x = 49,685,773,086.04
  5. Step 5: Solve for x
    x = 49,685,773,086.04/192,905.32
  6. Step 6: Final answer
    x = 257,565.59

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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.