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Finding the Fourth Proportional to 198,579.82, 274,041.99 and 107,936

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Solution

The fourth proportional to 198,579.82, 274,041.99 and 107,936 is: 148,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,579.82 : 274,041.99 = 107,936 : x
  2. Step 2: Convert to fraction form
    198,579.82/274,041.99 = 107,936/x
  3. Step 3: Cross multiply
    198,579.82x = 274,041.99 × 107,936
  4. Step 4: Simplify right side
    198,579.82x = 29,578,996,232.64
  5. Step 5: Solve for x
    x = 29,578,996,232.64/198,579.82
  6. Step 6: Final answer
    x = 148,952.68

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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.