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Finding the Fourth Proportional to 133,206.51, 199,805.15 and 33,367.56

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Solution

The fourth proportional to 133,206.51, 199,805.15 and 33,367.56 is: 50,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.51 : 199,805.15 = 33,367.56 : x
  2. Step 2: Convert to fraction form
    133,206.51/199,805.15 = 33,367.56/x
  3. Step 3: Cross multiply
    133,206.51x = 199,805.15 × 33,367.56
  4. Step 4: Simplify right side
    133,206.51x = 6,667,010,164.10
  5. Step 5: Solve for x
    x = 6,667,010,164.10/133,206.51
  6. Step 6: Final answer
    x = 50,050.18

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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.