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Finding the Fourth Proportional to 199,504, 275,321.28 and 110,085.76

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Solution

The fourth proportional to 199,504, 275,321.28 and 110,085.76 is: 151,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504 : 275,321.28 = 110,085.76 : x
  2. Step 2: Convert to fraction form
    199,504/275,321.28 = 110,085.76/x
  3. Step 3: Cross multiply
    199,504x = 275,321.28 × 110,085.76
  4. Step 4: Simplify right side
    199,504x = 30,308,952,352.97
  5. Step 5: Solve for x
    x = 30,308,952,352.97/199,504
  6. Step 6: Final answer
    x = 151,921.53

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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.