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Finding the Fourth Proportional to 277,413.22, 416,021.42 and 99,872.56

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Solution

The fourth proportional to 277,413.22, 416,021.42 and 99,872.56 is: 149,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,413.22 : 416,021.42 = 99,872.56 : x
  2. Step 2: Convert to fraction form
    277,413.22/416,021.42 = 99,872.56/x
  3. Step 3: Cross multiply
    277,413.22x = 416,021.42 × 99,872.56
  4. Step 4: Simplify right side
    277,413.22x = 41,549,124,230.24
  5. Step 5: Solve for x
    x = 41,549,124,230.24/277,413.22
  6. Step 6: Final answer
    x = 149,773.41

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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.