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Finding the Fourth Proportional to 196,481.50, 294,475.80 and 84,029.70

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Solution

The fourth proportional to 196,481.50, 294,475.80 and 84,029.70 is: 125,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,481.50 : 294,475.80 = 84,029.70 : x
  2. Step 2: Convert to fraction form
    196,481.50/294,475.80 = 84,029.70/x
  3. Step 3: Cross multiply
    196,481.50x = 294,475.80 × 84,029.70
  4. Step 4: Simplify right side
    196,481.50x = 24,744,714,550.66
  5. Step 5: Solve for x
    x = 24,744,714,550.66/196,481.50
  6. Step 6: Final answer
    x = 125,939.16

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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.