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Finding the Fourth Proportional to 214,404.58, 295,896.50 and 118,942.03

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Solution

The fourth proportional to 214,404.58, 295,896.50 and 118,942.03 is: 164,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404.58 : 295,896.50 = 118,942.03 : x
  2. Step 2: Convert to fraction form
    214,404.58/295,896.50 = 118,942.03/x
  3. Step 3: Cross multiply
    214,404.58x = 295,896.50 × 118,942.03
  4. Step 4: Simplify right side
    214,404.58x = 35,194,530,601.09
  5. Step 5: Solve for x
    x = 35,194,530,601.09/214,404.58
  6. Step 6: Final answer
    x = 164,150.09

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Why These Related Problems?

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