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Finding the Fourth Proportional to 133,207, 199,805.90 and 33,368.06

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Solution

The fourth proportional to 133,207, 199,805.90 and 33,368.06 is: 50,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207 : 199,805.90 = 33,368.06 : x
  2. Step 2: Convert to fraction form
    133,207/199,805.90 = 33,368.06/x
  3. Step 3: Cross multiply
    133,207x = 199,805.90 × 33,368.06
  4. Step 4: Simplify right side
    133,207x = 6,667,135,259.55
  5. Step 5: Solve for x
    x = 6,667,135,259.55/133,207
  6. Step 6: Final answer
    x = 50,050.94

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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.