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Finding the Fourth Proportional to 201,050.05, 277,214.67 and 149,974.11

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Solution

The fourth proportional to 201,050.05, 277,214.67 and 149,974.11 is: 206,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,050.05 : 277,214.67 = 149,974.11 : x
  2. Step 2: Convert to fraction form
    201,050.05/277,214.67 = 149,974.11/x
  3. Step 3: Cross multiply
    201,050.05x = 277,214.67 × 149,974.11
  4. Step 4: Simplify right side
    201,050.05x = 41,575,022,662.32
  5. Step 5: Solve for x
    x = 41,575,022,662.32/201,050.05
  6. Step 6: Final answer
    x = 206,789.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.