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Finding the Fourth Proportional to 194,823.20, 292,234.80 and 111,879.20

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Solution

The fourth proportional to 194,823.20, 292,234.80 and 111,879.20 is: 167,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,823.20 : 292,234.80 = 111,879.20 : x
  2. Step 2: Convert to fraction form
    194,823.20/292,234.80 = 111,879.20/x
  3. Step 3: Cross multiply
    194,823.20x = 292,234.80 × 111,879.20
  4. Step 4: Simplify right side
    194,823.20x = 32,694,995,636.16
  5. Step 5: Solve for x
    x = 32,694,995,636.16/194,823.20
  6. Step 6: Final answer
    x = 167,818.80

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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.