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Finding the Fourth Proportional to 133,996.50, 200,994.75 and 35,500.50

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Solution

The fourth proportional to 133,996.50, 200,994.75 and 35,500.50 is: 53,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,996.50 : 200,994.75 = 35,500.50 : x
  2. Step 2: Convert to fraction form
    133,996.50/200,994.75 = 35,500.50/x
  3. Step 3: Cross multiply
    133,996.50x = 200,994.75 × 35,500.50
  4. Step 4: Simplify right side
    133,996.50x = 7,135,414,122.38
  5. Step 5: Solve for x
    x = 7,135,414,122.38/133,996.50
  6. Step 6: Final answer
    x = 53,250.75

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1.5x scale

Why These Related Problems?

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