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Finding the Fourth Proportional to 201,231.81, 301,453.20 and 116,814.96

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Solution

The fourth proportional to 201,231.81, 301,453.20 and 116,814.96 is: 174,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.81 : 301,453.20 = 116,814.96 : x
  2. Step 2: Convert to fraction form
    201,231.81/301,453.20 = 116,814.96/x
  3. Step 3: Cross multiply
    201,231.81x = 301,453.20 × 116,814.96
  4. Step 4: Simplify right side
    201,231.81x = 35,214,243,499.87
  5. Step 5: Solve for x
    x = 35,214,243,499.87/201,231.81
  6. Step 6: Final answer
    x = 174,993.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.