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Finding the Fourth Proportional to 209,211.20, 313,816.80 and 76,095.80

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Solution

The fourth proportional to 209,211.20, 313,816.80 and 76,095.80 is: 114,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,211.20 : 313,816.80 = 76,095.80 : x
  2. Step 2: Convert to fraction form
    209,211.20/313,816.80 = 76,095.80/x
  3. Step 3: Cross multiply
    209,211.20x = 313,816.80 × 76,095.80
  4. Step 4: Simplify right side
    209,211.20x = 23,880,140,449.44
  5. Step 5: Solve for x
    x = 23,880,140,449.44/209,211.20
  6. Step 6: Final answer
    x = 114,143.70

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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.