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Finding the Fourth Proportional to 209,715.69, 289,408.10 and 114,222.09

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Solution

The fourth proportional to 209,715.69, 289,408.10 and 114,222.09 is: 157,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.69 : 289,408.10 = 114,222.09 : x
  2. Step 2: Convert to fraction form
    209,715.69/289,408.10 = 114,222.09/x
  3. Step 3: Cross multiply
    209,715.69x = 289,408.10 × 114,222.09
  4. Step 4: Simplify right side
    209,715.69x = 33,056,797,473.82
  5. Step 5: Solve for x
    x = 33,056,797,473.82/209,715.69
  6. Step 6: Final answer
    x = 157,626.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.