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Finding the Fourth Proportional to 133,616.06, 200,405.49 and 33,770.06

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Solution

The fourth proportional to 133,616.06, 200,405.49 and 33,770.06 is: 50,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.06 : 200,405.49 = 33,770.06 : x
  2. Step 2: Convert to fraction form
    133,616.06/200,405.49 = 33,770.06/x
  3. Step 3: Cross multiply
    133,616.06x = 200,405.49 × 33,770.06
  4. Step 4: Simplify right side
    133,616.06x = 6,767,705,421.63
  5. Step 5: Solve for x
    x = 6,767,705,421.63/133,616.06
  6. Step 6: Final answer
    x = 50,650.39

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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.