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Finding the Fourth Proportional to 209,376.48, 313,338.96 and 200,667.36

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Solution

The fourth proportional to 209,376.48, 313,338.96 and 200,667.36 is: 300,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,376.48 : 313,338.96 = 200,667.36 : x
  2. Step 2: Convert to fraction form
    209,376.48/313,338.96 = 200,667.36/x
  3. Step 3: Cross multiply
    209,376.48x = 313,338.96 × 200,667.36
  4. Step 4: Simplify right side
    209,376.48x = 62,876,901,888.35
  5. Step 5: Solve for x
    x = 62,876,901,888.35/209,376.48
  6. Step 6: Final answer
    x = 300,305.47

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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.