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Finding the Fourth Proportional to 133,912.54, 200,869.47 and 45,166.82

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Solution

The fourth proportional to 133,912.54, 200,869.47 and 45,166.82 is: 67,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,912.54 : 200,869.47 = 45,166.82 : x
  2. Step 2: Convert to fraction form
    133,912.54/200,869.47 = 45,166.82/x
  3. Step 3: Cross multiply
    133,912.54x = 200,869.47 × 45,166.82
  4. Step 4: Simplify right side
    133,912.54x = 9,072,634,190.64
  5. Step 5: Solve for x
    x = 9,072,634,190.64/133,912.54
  6. Step 6: Final answer
    x = 67,750.44

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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.