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Finding the Fourth Proportional to 196,998.53, 295,523.33 and 90,356.76

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Solution

The fourth proportional to 196,998.53, 295,523.33 and 90,356.76 is: 135,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,998.53 : 295,523.33 = 90,356.76 : x
  2. Step 2: Convert to fraction form
    196,998.53/295,523.33 = 90,356.76/x
  3. Step 3: Cross multiply
    196,998.53x = 295,523.33 × 90,356.76
  4. Step 4: Simplify right side
    196,998.53x = 26,702,530,151.43
  5. Step 5: Solve for x
    x = 26,702,530,151.43/196,998.53
  6. Step 6: Final answer
    x = 135,546.85

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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.