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Finding the Fourth Proportional to 199,185, 298,821.24 and 74,526

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Solution

The fourth proportional to 199,185, 298,821.24 and 74,526 is: 111,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,185 : 298,821.24 = 74,526 : x
  2. Step 2: Convert to fraction form
    199,185/298,821.24 = 74,526/x
  3. Step 3: Cross multiply
    199,185x = 298,821.24 × 74,526
  4. Step 4: Simplify right side
    199,185x = 22,269,951,732.24
  5. Step 5: Solve for x
    x = 22,269,951,732.24/199,185
  6. Step 6: Final answer
    x = 111,805.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.