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Finding the Fourth Proportional to 209,351.88, 313,980.30 and 59,589

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Solution

The fourth proportional to 209,351.88, 313,980.30 and 59,589 is: 89,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,351.88 : 313,980.30 = 59,589 : x
  2. Step 2: Convert to fraction form
    209,351.88/313,980.30 = 59,589/x
  3. Step 3: Cross multiply
    209,351.88x = 313,980.30 × 59,589
  4. Step 4: Simplify right side
    209,351.88x = 18,709,772,096.70
  5. Step 5: Solve for x
    x = 18,709,772,096.70/209,351.88
  6. Step 6: Final answer
    x = 89,369.97

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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.