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Finding the Fourth Proportional to 209,081.34, 290,012.64 and 201,912.42

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Solution

The fourth proportional to 209,081.34, 290,012.64 and 201,912.42 is: 280,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,081.34 : 290,012.64 = 201,912.42 : x
  2. Step 2: Convert to fraction form
    209,081.34/290,012.64 = 201,912.42/x
  3. Step 3: Cross multiply
    209,081.34x = 290,012.64 × 201,912.42
  4. Step 4: Simplify right side
    209,081.34x = 58,557,153,972.99
  5. Step 5: Solve for x
    x = 58,557,153,972.99/209,081.34
  6. Step 6: Final answer
    x = 280,068.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.