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Finding the Fourth Proportional to 209,491.14, 289,103.85 and 114,003.99

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Solution

The fourth proportional to 209,491.14, 289,103.85 and 114,003.99 is: 157,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,491.14 : 289,103.85 = 114,003.99 : x
  2. Step 2: Convert to fraction form
    209,491.14/289,103.85 = 114,003.99/x
  3. Step 3: Cross multiply
    209,491.14x = 289,103.85 × 114,003.99
  4. Step 4: Simplify right side
    209,491.14x = 32,958,992,424.36
  5. Step 5: Solve for x
    x = 32,958,992,424.36/209,491.14
  6. Step 6: Final answer
    x = 157,328.81

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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.