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Finding the Fourth Proportional to 198,992.82, 274,603.77 and 118,401.90

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Solution

The fourth proportional to 198,992.82, 274,603.77 and 118,401.90 is: 163,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992.82 : 274,603.77 = 118,401.90 : x
  2. Step 2: Convert to fraction form
    198,992.82/274,603.77 = 118,401.90/x
  3. Step 3: Cross multiply
    198,992.82x = 274,603.77 × 118,401.90
  4. Step 4: Simplify right side
    198,992.82x = 32,513,608,115.16
  5. Step 5: Solve for x
    x = 32,513,608,115.16/198,992.82
  6. Step 6: Final answer
    x = 163,390.86

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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.