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Finding the Fourth Proportional to 199,664.91, 275,538.90 and 109,021.50

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Solution

The fourth proportional to 199,664.91, 275,538.90 and 109,021.50 is: 150,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,664.91 : 275,538.90 = 109,021.50 : x
  2. Step 2: Convert to fraction form
    199,664.91/275,538.90 = 109,021.50/x
  3. Step 3: Cross multiply
    199,664.91x = 275,538.90 × 109,021.50
  4. Step 4: Simplify right side
    199,664.91x = 30,039,664,186.35
  5. Step 5: Solve for x
    x = 30,039,664,186.35/199,664.91
  6. Step 6: Final answer
    x = 150,450.39

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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.