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Finding the Fourth Proportional to 211,463.25, 291,834.75 and 120,817.27

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Solution

The fourth proportional to 211,463.25, 291,834.75 and 120,817.27 is: 166,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,463.25 : 291,834.75 = 120,817.27 : x
  2. Step 2: Convert to fraction form
    211,463.25/291,834.75 = 120,817.27/x
  3. Step 3: Cross multiply
    211,463.25x = 291,834.75 × 120,817.27
  4. Step 4: Simplify right side
    211,463.25x = 35,258,678,131.68
  5. Step 5: Solve for x
    x = 35,258,678,131.68/211,463.25
  6. Step 6: Final answer
    x = 166,736.67

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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.