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Finding the Fourth Proportional to 199,352.40, 274,546.44 and 194,997.84

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Solution

The fourth proportional to 199,352.40, 274,546.44 and 194,997.84 is: 268,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,352.40 : 274,546.44 = 194,997.84 : x
  2. Step 2: Convert to fraction form
    199,352.40/274,546.44 = 194,997.84/x
  3. Step 3: Cross multiply
    199,352.40x = 274,546.44 × 194,997.84
  4. Step 4: Simplify right side
    199,352.40x = 53,535,962,779.69
  5. Step 5: Solve for x
    x = 53,535,962,779.69/199,352.40
  6. Step 6: Final answer
    x = 268,549.38

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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.