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Finding the Fourth Proportional to 209,315.80, 311,757.26 and 208,296.10

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Solution

The fourth proportional to 209,315.80, 311,757.26 and 208,296.10 is: 310,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,315.80 : 311,757.26 = 208,296.10 : x
  2. Step 2: Convert to fraction form
    209,315.80/311,757.26 = 208,296.10/x
  3. Step 3: Cross multiply
    209,315.80x = 311,757.26 × 208,296.10
  4. Step 4: Simplify right side
    209,315.80x = 64,937,821,404.69
  5. Step 5: Solve for x
    x = 64,937,821,404.69/209,315.80
  6. Step 6: Final answer
    x = 310,238.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.