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Finding the Fourth Proportional to 199,412.93, 275,193.09 and 108,768.87

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Solution

The fourth proportional to 199,412.93, 275,193.09 and 108,768.87 is: 150,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412.93 : 275,193.09 = 108,768.87 : x
  2. Step 2: Convert to fraction form
    199,412.93/275,193.09 = 108,768.87/x
  3. Step 3: Cross multiply
    199,412.93x = 275,193.09 × 108,768.87
  4. Step 4: Simplify right side
    199,412.93x = 29,932,441,431.11
  5. Step 5: Solve for x
    x = 29,932,441,431.11/199,412.93
  6. Step 6: Final answer
    x = 150,102.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.