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Finding the Fourth Proportional to 133,604.36, 200,405.90 and 33,764.76

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Solution

The fourth proportional to 133,604.36, 200,405.90 and 33,764.76 is: 50,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604.36 : 200,405.90 = 33,764.76 : x
  2. Step 2: Convert to fraction form
    133,604.36/200,405.90 = 33,764.76/x
  3. Step 3: Cross multiply
    133,604.36x = 200,405.90 × 33,764.76
  4. Step 4: Simplify right side
    133,604.36x = 6,766,657,116.08
  5. Step 5: Solve for x
    x = 6,766,657,116.08/133,604.36
  6. Step 6: Final answer
    x = 50,646.98

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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.