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Finding the Fourth Proportional to 209,206.26, 313,943.04 and 76,073.85

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Solution

The fourth proportional to 209,206.26, 313,943.04 and 76,073.85 is: 114,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,206.26 : 313,943.04 = 76,073.85 : x
  2. Step 2: Convert to fraction form
    209,206.26/313,943.04 = 76,073.85/x
  3. Step 3: Cross multiply
    209,206.26x = 313,943.04 × 76,073.85
  4. Step 4: Simplify right side
    209,206.26x = 23,882,855,733.50
  5. Step 5: Solve for x
    x = 23,882,855,733.50/209,206.26
  6. Step 6: Final answer
    x = 114,159.37

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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.