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Finding the Fourth Proportional to 133,181, 199,800.66 and 50,075

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Solution

The fourth proportional to 133,181, 199,800.66 and 50,075 is: 75,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,181 : 199,800.66 = 50,075 : x
  2. Step 2: Convert to fraction form
    133,181/199,800.66 = 50,075/x
  3. Step 3: Cross multiply
    133,181x = 199,800.66 × 50,075
  4. Step 4: Simplify right side
    133,181x = 10,005,018,049.50
  5. Step 5: Solve for x
    x = 10,005,018,049.50/133,181
  6. Step 6: Final answer
    x = 75,123.46

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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.