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Finding the Fourth Proportional to 105,594.78, 157,998.49 and 104,413.80

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Solution

The fourth proportional to 105,594.78, 157,998.49 and 104,413.80 is: 156,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,594.78 : 157,998.49 = 104,413.80 : x
  2. Step 2: Convert to fraction form
    105,594.78/157,998.49 = 104,413.80/x
  3. Step 3: Cross multiply
    105,594.78x = 157,998.49 × 104,413.80
  4. Step 4: Simplify right side
    105,594.78x = 16,497,222,735.16
  5. Step 5: Solve for x
    x = 16,497,222,735.16/105,594.78
  6. Step 6: Final answer
    x = 156,231.42

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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.