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Finding the Fourth Proportional to 209,216.70, 313,825.05 and 76,101.30

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Solution

The fourth proportional to 209,216.70, 313,825.05 and 76,101.30 is: 114,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.70 : 313,825.05 = 76,101.30 : x
  2. Step 2: Convert to fraction form
    209,216.70/313,825.05 = 76,101.30/x
  3. Step 3: Cross multiply
    209,216.70x = 313,825.05 × 76,101.30
  4. Step 4: Simplify right side
    209,216.70x = 23,882,494,277.57
  5. Step 5: Solve for x
    x = 23,882,494,277.57/209,216.70
  6. Step 6: Final answer
    x = 114,151.95

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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.