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Finding the Fourth Proportional to 196,954.96, 295,407.82 and 54,810.90

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Solution

The fourth proportional to 196,954.96, 295,407.82 and 54,810.90 is: 82,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,954.96 : 295,407.82 = 54,810.90 : x
  2. Step 2: Convert to fraction form
    196,954.96/295,407.82 = 54,810.90/x
  3. Step 3: Cross multiply
    196,954.96x = 295,407.82 × 54,810.90
  4. Step 4: Simplify right side
    196,954.96x = 16,191,568,481.24
  5. Step 5: Solve for x
    x = 16,191,568,481.24/196,954.96
  6. Step 6: Final answer
    x = 82,209.50

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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.