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Finding the Fourth Proportional to 196,771.96, 271,543.98 and 111,889

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Solution

The fourth proportional to 196,771.96, 271,543.98 and 111,889 is: 154,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,771.96 : 271,543.98 = 111,889 : x
  2. Step 2: Convert to fraction form
    196,771.96/271,543.98 = 111,889/x
  3. Step 3: Cross multiply
    196,771.96x = 271,543.98 × 111,889
  4. Step 4: Simplify right side
    196,771.96x = 30,382,784,378.22
  5. Step 5: Solve for x
    x = 30,382,784,378.22/196,771.96
  6. Step 6: Final answer
    x = 154,406.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.