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Finding the Fourth Proportional to 199,795.44, 275,717.71 and 110,371.44

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Solution

The fourth proportional to 199,795.44, 275,717.71 and 110,371.44 is: 152,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,795.44 : 275,717.71 = 110,371.44 : x
  2. Step 2: Convert to fraction form
    199,795.44/275,717.71 = 110,371.44/x
  3. Step 3: Cross multiply
    199,795.44x = 275,717.71 × 110,371.44
  4. Step 4: Simplify right side
    199,795.44x = 30,431,360,134.35
  5. Step 5: Solve for x
    x = 30,431,360,134.35/199,795.44
  6. Step 6: Final answer
    x = 152,312.59

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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.