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Finding the Fourth Proportional to 209,594.87, 314,441.11 and 59,837.21

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Solution

The fourth proportional to 209,594.87, 314,441.11 and 59,837.21 is: 89,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.87 : 314,441.11 = 59,837.21 : x
  2. Step 2: Convert to fraction form
    209,594.87/314,441.11 = 59,837.21/x
  3. Step 3: Cross multiply
    209,594.87x = 314,441.11 × 59,837.21
  4. Step 4: Simplify right side
    209,594.87x = 18,815,278,413.45
  5. Step 5: Solve for x
    x = 18,815,278,413.45/209,594.87
  6. Step 6: Final answer
    x = 89,769.75

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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.