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Finding the Fourth Proportional to 133,206.32, 199,804.87 and 33,367.37

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Solution

The fourth proportional to 133,206.32, 199,804.87 and 33,367.37 is: 50,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.32 : 199,804.87 = 33,367.37 : x
  2. Step 2: Convert to fraction form
    133,206.32/199,804.87 = 33,367.37/x
  3. Step 3: Cross multiply
    133,206.32x = 199,804.87 × 33,367.37
  4. Step 4: Simplify right side
    133,206.32x = 6,666,963,566.31
  5. Step 5: Solve for x
    x = 6,666,963,566.31/133,206.32
  6. Step 6: Final answer
    x = 50,049.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.