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Finding the Fourth Proportional to 201,697.26, 278,348.85 and 111,059.88

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Solution

The fourth proportional to 201,697.26, 278,348.85 and 111,059.88 is: 153,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.26 : 278,348.85 = 111,059.88 : x
  2. Step 2: Convert to fraction form
    201,697.26/278,348.85 = 111,059.88/x
  3. Step 3: Cross multiply
    201,697.26x = 278,348.85 × 111,059.88
  4. Step 4: Simplify right side
    201,697.26x = 30,913,389,879.14
  5. Step 5: Solve for x
    x = 30,913,389,879.14/201,697.26
  6. Step 6: Final answer
    x = 153,266.29

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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.