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Finding the Fourth Proportional to 201,941.98, 278,668.56 and 111,297.67

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Solution

The fourth proportional to 201,941.98, 278,668.56 and 111,297.67 is: 153,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.98 : 278,668.56 = 111,297.67 : x
  2. Step 2: Convert to fraction form
    201,941.98/278,668.56 = 111,297.67/x
  3. Step 3: Cross multiply
    201,941.98x = 278,668.56 × 111,297.67
  4. Step 4: Simplify right side
    201,941.98x = 31,015,161,150.95
  5. Step 5: Solve for x
    x = 31,015,161,150.95/201,941.98
  6. Step 6: Final answer
    x = 153,584.51

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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.