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Finding the Fourth Proportional to 209,122.10, 313,506.82 and 90,704.26

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Solution

The fourth proportional to 209,122.10, 313,506.82 and 90,704.26 is: 135,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,122.10 : 313,506.82 = 90,704.26 : x
  2. Step 2: Convert to fraction form
    209,122.10/313,506.82 = 90,704.26/x
  3. Step 3: Cross multiply
    209,122.10x = 313,506.82 × 90,704.26
  4. Step 4: Simplify right side
    209,122.10x = 28,436,404,113.05
  5. Step 5: Solve for x
    x = 28,436,404,113.05/209,122.10
  6. Step 6: Final answer
    x = 135,979.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.