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Finding the Fourth Proportional to 199,862.61, 275,826.09 and 113,825.22

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Solution

The fourth proportional to 199,862.61, 275,826.09 and 113,825.22 is: 157,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,862.61 : 275,826.09 = 113,825.22 : x
  2. Step 2: Convert to fraction form
    199,862.61/275,826.09 = 113,825.22/x
  3. Step 3: Cross multiply
    199,862.61x = 275,826.09 × 113,825.22
  4. Step 4: Simplify right side
    199,862.61x = 31,395,965,375.99
  5. Step 5: Solve for x
    x = 31,395,965,375.99/199,862.61
  6. Step 6: Final answer
    x = 157,087.74

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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.