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Finding the Fourth Proportional to 133,208, 199,807.40 and 33,369.06

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Solution

The fourth proportional to 133,208, 199,807.40 and 33,369.06 is: 50,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208 : 199,807.40 = 33,369.06 : x
  2. Step 2: Convert to fraction form
    133,208/199,807.40 = 33,369.06/x
  3. Step 3: Cross multiply
    133,208x = 199,807.40 × 33,369.06
  4. Step 4: Simplify right side
    133,208x = 6,667,385,119.04
  5. Step 5: Solve for x
    x = 6,667,385,119.04/133,208
  6. Step 6: Final answer
    x = 50,052.44

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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.