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Finding the Fourth Proportional to 193,649.02, 290,354.63 and 67,234.95

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Solution

The fourth proportional to 193,649.02, 290,354.63 and 67,234.95 is: 100,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,649.02 : 290,354.63 = 67,234.95 : x
  2. Step 2: Convert to fraction form
    193,649.02/290,354.63 = 67,234.95/x
  3. Step 3: Cross multiply
    193,649.02x = 290,354.63 × 67,234.95
  4. Step 4: Simplify right side
    193,649.02x = 19,521,978,694.14
  5. Step 5: Solve for x
    x = 19,521,978,694.14/193,649.02
  6. Step 6: Final answer
    x = 100,811.14

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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.