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Finding the Fourth Proportional to 209,317.97, 288,940.96 and 148,382.65

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Solution

The fourth proportional to 209,317.97, 288,940.96 and 148,382.65 is: 204,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,317.97 : 288,940.96 = 148,382.65 : x
  2. Step 2: Convert to fraction form
    209,317.97/288,940.96 = 148,382.65/x
  3. Step 3: Cross multiply
    209,317.97x = 288,940.96 × 148,382.65
  4. Step 4: Simplify right side
    209,317.97x = 42,873,825,328.56
  5. Step 5: Solve for x
    x = 42,873,825,328.56/209,317.97
  6. Step 6: Final answer
    x = 204,826.30

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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.