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Finding the Fourth Proportional to 196,988.96, 295,481.52 and 49,244.96

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Solution

The fourth proportional to 196,988.96, 295,481.52 and 49,244.96 is: 73,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,988.96 : 295,481.52 = 49,244.96 : x
  2. Step 2: Convert to fraction form
    196,988.96/295,481.52 = 49,244.96/x
  3. Step 3: Cross multiply
    196,988.96x = 295,481.52 × 49,244.96
  4. Step 4: Simplify right side
    196,988.96x = 14,550,975,633.14
  5. Step 5: Solve for x
    x = 14,550,975,633.14/196,988.96
  6. Step 6: Final answer
    x = 73,866.96

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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.