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Finding the Fourth Proportional to 209,367.49, 313,861.17 and 76,153.57

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Solution

The fourth proportional to 209,367.49, 313,861.17 and 76,153.57 is: 114,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,367.49 : 313,861.17 = 76,153.57 : x
  2. Step 2: Convert to fraction form
    209,367.49/313,861.17 = 76,153.57/x
  3. Step 3: Cross multiply
    209,367.49x = 313,861.17 × 76,153.57
  4. Step 4: Simplify right side
    209,367.49x = 23,901,648,579.88
  5. Step 5: Solve for x
    x = 23,901,648,579.88/209,367.49
  6. Step 6: Final answer
    x = 114,161.22

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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.