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Finding the Fourth Proportional to 192,165.62, 288,109.91 and 117,268.16

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Solution

The fourth proportional to 192,165.62, 288,109.91 and 117,268.16 is: 175,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,165.62 : 288,109.91 = 117,268.16 : x
  2. Step 2: Convert to fraction form
    192,165.62/288,109.91 = 117,268.16/x
  3. Step 3: Cross multiply
    192,165.62x = 288,109.91 × 117,268.16
  4. Step 4: Simplify right side
    192,165.62x = 33,786,117,876.09
  5. Step 5: Solve for x
    x = 33,786,117,876.09/192,165.62
  6. Step 6: Final answer
    x = 175,817.71

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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.