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Finding the Fourth Proportional to 133,683.31, 200,525.12 and 33,843.50

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Solution

The fourth proportional to 133,683.31, 200,525.12 and 33,843.50 is: 50,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,683.31 : 200,525.12 = 33,843.50 : x
  2. Step 2: Convert to fraction form
    133,683.31/200,525.12 = 33,843.50/x
  3. Step 3: Cross multiply
    133,683.31x = 200,525.12 × 33,843.50
  4. Step 4: Simplify right side
    133,683.31x = 6,786,471,041.78
  5. Step 5: Solve for x
    x = 6,786,471,041.78/133,683.31
  6. Step 6: Final answer
    x = 50,765.28

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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.