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Finding the Fourth Proportional to 198,073.09, 297,106.17 and 182,645.34

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Solution

The fourth proportional to 198,073.09, 297,106.17 and 182,645.34 is: 273,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,073.09 : 297,106.17 = 182,645.34 : x
  2. Step 2: Convert to fraction form
    198,073.09/297,106.17 = 182,645.34/x
  3. Step 3: Cross multiply
    198,073.09x = 297,106.17 × 182,645.34
  4. Step 4: Simplify right side
    198,073.09x = 54,265,057,435.75
  5. Step 5: Solve for x
    x = 54,265,057,435.75/198,073.09
  6. Step 6: Final answer
    x = 273,964.81

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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.