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Finding the Fourth Proportional to 200,713.10, 301,069.65 and 133,936.70

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Solution

The fourth proportional to 200,713.10, 301,069.65 and 133,936.70 is: 200,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713.10 : 301,069.65 = 133,936.70 : x
  2. Step 2: Convert to fraction form
    200,713.10/301,069.65 = 133,936.70/x
  3. Step 3: Cross multiply
    200,713.10x = 301,069.65 × 133,936.70
  4. Step 4: Simplify right side
    200,713.10x = 40,324,275,391.16
  5. Step 5: Solve for x
    x = 40,324,275,391.16/200,713.10
  6. Step 6: Final answer
    x = 200,905.05

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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.