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Finding the Fourth Proportional to 199,596, 275,442.48 and 110,172

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Solution

The fourth proportional to 199,596, 275,442.48 and 110,172 is: 152,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596 : 275,442.48 = 110,172 : x
  2. Step 2: Convert to fraction form
    199,596/275,442.48 = 110,172/x
  3. Step 3: Cross multiply
    199,596x = 275,442.48 × 110,172
  4. Step 4: Simplify right side
    199,596x = 30,346,048,906.56
  5. Step 5: Solve for x
    x = 30,346,048,906.56/199,596
  6. Step 6: Final answer
    x = 152,037.36

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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.