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Finding the Fourth Proportional to 114,051.51, 171,105.14 and 80,383.19

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Solution

The fourth proportional to 114,051.51, 171,105.14 and 80,383.19 is: 120,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.51 : 171,105.14 = 80,383.19 : x
  2. Step 2: Convert to fraction form
    114,051.51/171,105.14 = 80,383.19/x
  3. Step 3: Cross multiply
    114,051.51x = 171,105.14 × 80,383.19
  4. Step 4: Simplify right side
    114,051.51x = 13,753,976,324.03
  5. Step 5: Solve for x
    x = 13,753,976,324.03/114,051.51
  6. Step 6: Final answer
    x = 120,594.43

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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.