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Finding the Fourth Proportional to 200,192.36, 275,945.22 and 135,641.96

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Solution

The fourth proportional to 200,192.36, 275,945.22 and 135,641.96 is: 186,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,192.36 : 275,945.22 = 135,641.96 : x
  2. Step 2: Convert to fraction form
    200,192.36/275,945.22 = 135,641.96/x
  3. Step 3: Cross multiply
    200,192.36x = 275,945.22 × 135,641.96
  4. Step 4: Simplify right side
    200,192.36x = 37,429,750,493.43
  5. Step 5: Solve for x
    x = 37,429,750,493.43/200,192.36
  6. Step 6: Final answer
    x = 186,968.93

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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.