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Finding the Fourth Proportional to 209,144.36, 313,690.62 and 123,806

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Solution

The fourth proportional to 209,144.36, 313,690.62 and 123,806 is: 185,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,144.36 : 313,690.62 = 123,806 : x
  2. Step 2: Convert to fraction form
    209,144.36/313,690.62 = 123,806/x
  3. Step 3: Cross multiply
    209,144.36x = 313,690.62 × 123,806
  4. Step 4: Simplify right side
    209,144.36x = 38,836,780,899.72
  5. Step 5: Solve for x
    x = 38,836,780,899.72/209,144.36
  6. Step 6: Final answer
    x = 185,693.66

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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.