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Finding the Fourth Proportional to 204,968.25, 307,611.14 and 142,228.89

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Solution

The fourth proportional to 204,968.25, 307,611.14 and 142,228.89 is: 213,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,968.25 : 307,611.14 = 142,228.89 : x
  2. Step 2: Convert to fraction form
    204,968.25/307,611.14 = 142,228.89/x
  3. Step 3: Cross multiply
    204,968.25x = 307,611.14 × 142,228.89
  4. Step 4: Simplify right side
    204,968.25x = 43,751,190,282.69
  5. Step 5: Solve for x
    x = 43,751,190,282.69/204,968.25
  6. Step 6: Final answer
    x = 213,453.50

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