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Finding the Fourth Proportional to 263,596.82, 363,852.33 and 160,230.65

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Solution

The fourth proportional to 263,596.82, 363,852.33 and 160,230.65 is: 221,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,596.82 : 363,852.33 = 160,230.65 : x
  2. Step 2: Convert to fraction form
    263,596.82/363,852.33 = 160,230.65/x
  3. Step 3: Cross multiply
    263,596.82x = 363,852.33 × 160,230.65
  4. Step 4: Simplify right side
    263,596.82x = 58,300,295,339.91
  5. Step 5: Solve for x
    x = 58,300,295,339.91/263,596.82
  6. Step 6: Final answer
    x = 221,172.23

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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.