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Finding the Fourth Proportional to 100,961.94, 151,413.74 and 34,400.60

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Solution

The fourth proportional to 100,961.94, 151,413.74 and 34,400.60 is: 51,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.94 : 151,413.74 = 34,400.60 : x
  2. Step 2: Convert to fraction form
    100,961.94/151,413.74 = 34,400.60/x
  3. Step 3: Cross multiply
    100,961.94x = 151,413.74 × 34,400.60
  4. Step 4: Simplify right side
    100,961.94x = 5,208,723,504.24
  5. Step 5: Solve for x
    x = 5,208,723,504.24/100,961.94
  6. Step 6: Final answer
    x = 51,590.96

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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.