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Finding the Fourth Proportional to 209,169.36, 313,756.32 and 59,413.20

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Solution

The fourth proportional to 209,169.36, 313,756.32 and 59,413.20 is: 89,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.36 : 313,756.32 = 59,413.20 : x
  2. Step 2: Convert to fraction form
    209,169.36/313,756.32 = 59,413.20/x
  3. Step 3: Cross multiply
    209,169.36x = 313,756.32 × 59,413.20
  4. Step 4: Simplify right side
    209,169.36x = 18,641,266,991.42
  5. Step 5: Solve for x
    x = 18,641,266,991.42/209,169.36
  6. Step 6: Final answer
    x = 89,120.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.