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Finding the Fourth Proportional to 209,413.93, 288,989.90 and 113,921.01

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Solution

The fourth proportional to 209,413.93, 288,989.90 and 113,921.01 is: 157,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,413.93 : 288,989.90 = 113,921.01 : x
  2. Step 2: Convert to fraction form
    209,413.93/288,989.90 = 113,921.01/x
  3. Step 3: Cross multiply
    209,413.93x = 288,989.90 × 113,921.01
  4. Step 4: Simplify right side
    209,413.93x = 32,922,021,287.80
  5. Step 5: Solve for x
    x = 32,922,021,287.80/209,413.93
  6. Step 6: Final answer
    x = 157,210.27

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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.