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Finding the Fourth Proportional to 199,611.90, 275,474.79 and 114,736.86

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Solution

The fourth proportional to 199,611.90, 275,474.79 and 114,736.86 is: 158,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611.90 : 275,474.79 = 114,736.86 : x
  2. Step 2: Convert to fraction form
    199,611.90/275,474.79 = 114,736.86/x
  3. Step 3: Cross multiply
    199,611.90x = 275,474.79 × 114,736.86
  4. Step 4: Simplify right side
    199,611.90x = 31,607,112,413.76
  5. Step 5: Solve for x
    x = 31,607,112,413.76/199,611.90
  6. Step 6: Final answer
    x = 158,342.83

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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.