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Finding the Fourth Proportional to 209,352.22, 313,981.16 and 59,589.19

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Solution

The fourth proportional to 209,352.22, 313,981.16 and 59,589.19 is: 89,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.22 : 313,981.16 = 59,589.19 : x
  2. Step 2: Convert to fraction form
    209,352.22/313,981.16 = 59,589.19/x
  3. Step 3: Cross multiply
    209,352.22x = 313,981.16 × 59,589.19
  4. Step 4: Simplify right side
    209,352.22x = 18,709,882,999.66
  5. Step 5: Solve for x
    x = 18,709,882,999.66/209,352.22
  6. Step 6: Final answer
    x = 89,370.36

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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.