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Finding the Fourth Proportional to 196,596.56, 270,741.74 and 177,049.02

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Solution

The fourth proportional to 196,596.56, 270,741.74 and 177,049.02 is: 243,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,596.56 : 270,741.74 = 177,049.02 : x
  2. Step 2: Convert to fraction form
    196,596.56/270,741.74 = 177,049.02/x
  3. Step 3: Cross multiply
    196,596.56x = 270,741.74 × 177,049.02
  4. Step 4: Simplify right side
    196,596.56x = 47,934,558,854.85
  5. Step 5: Solve for x
    x = 47,934,558,854.85/196,596.56
  6. Step 6: Final answer
    x = 243,821.97

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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.