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Finding the Fourth Proportional to 188,993.97, 283,341.11 and 99,019.43

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Solution

The fourth proportional to 188,993.97, 283,341.11 and 99,019.43 is: 148,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,993.97 : 283,341.11 = 99,019.43 : x
  2. Step 2: Convert to fraction form
    188,993.97/283,341.11 = 99,019.43/x
  3. Step 3: Cross multiply
    188,993.97x = 283,341.11 × 99,019.43
  4. Step 4: Simplify right side
    188,993.97x = 28,056,274,358.49
  5. Step 5: Solve for x
    x = 28,056,274,358.49/188,993.97
  6. Step 6: Final answer
    x = 148,450.63

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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.