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Finding the Fourth Proportional to 199,384.98, 275,149.89 and 109,960.98

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Solution

The fourth proportional to 199,384.98, 275,149.89 and 109,960.98 is: 151,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,384.98 : 275,149.89 = 109,960.98 : x
  2. Step 2: Convert to fraction form
    199,384.98/275,149.89 = 109,960.98/x
  3. Step 3: Cross multiply
    199,384.98x = 275,149.89 × 109,960.98
  4. Step 4: Simplify right side
    199,384.98x = 30,255,751,551.29
  5. Step 5: Solve for x
    x = 30,255,751,551.29/199,384.98
  6. Step 6: Final answer
    x = 151,745.39

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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.