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Finding the Fourth Proportional to 209,906.44, 289,667.94 and 114,413.52

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Solution

The fourth proportional to 209,906.44, 289,667.94 and 114,413.52 is: 157,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.44 : 289,667.94 = 114,413.52 : x
  2. Step 2: Convert to fraction form
    209,906.44/289,667.94 = 114,413.52/x
  3. Step 3: Cross multiply
    209,906.44x = 289,667.94 × 114,413.52
  4. Step 4: Simplify right side
    209,906.44x = 33,141,928,646.55
  5. Step 5: Solve for x
    x = 33,141,928,646.55/209,906.44
  6. Step 6: Final answer
    x = 157,889.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.