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Finding the Fourth Proportional to 209,667.33, 289,140.57 and 140,912.10

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Solution

The fourth proportional to 209,667.33, 289,140.57 and 140,912.10 is: 194,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,667.33 : 289,140.57 = 140,912.10 : x
  2. Step 2: Convert to fraction form
    209,667.33/289,140.57 = 140,912.10/x
  3. Step 3: Cross multiply
    209,667.33x = 289,140.57 × 140,912.10
  4. Step 4: Simplify right side
    209,667.33x = 40,743,404,913.90
  5. Step 5: Solve for x
    x = 40,743,404,913.90/209,667.33
  6. Step 6: Final answer
    x = 194,324.05

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