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Finding the Fourth Proportional to 201,941.73, 278,668.24 and 111,297.42

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Solution

The fourth proportional to 201,941.73, 278,668.24 and 111,297.42 is: 153,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.73 : 278,668.24 = 111,297.42 : x
  2. Step 2: Convert to fraction form
    201,941.73/278,668.24 = 111,297.42/x
  3. Step 3: Cross multiply
    201,941.73x = 278,668.24 × 111,297.42
  4. Step 4: Simplify right side
    201,941.73x = 31,015,055,869.70
  5. Step 5: Solve for x
    x = 31,015,055,869.70/201,941.73
  6. Step 6: Final answer
    x = 153,584.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.