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Finding the Fourth Proportional to 199,790.65, 275,706.51 and 109,147

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Solution

The fourth proportional to 199,790.65, 275,706.51 and 109,147 is: 150,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,790.65 : 275,706.51 = 109,147 : x
  2. Step 2: Convert to fraction form
    199,790.65/275,706.51 = 109,147/x
  3. Step 3: Cross multiply
    199,790.65x = 275,706.51 × 109,147
  4. Step 4: Simplify right side
    199,790.65x = 30,092,538,446.97
  5. Step 5: Solve for x
    x = 30,092,538,446.97/199,790.65
  6. Step 6: Final answer
    x = 150,620.35

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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.