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Finding the Fourth Proportional to 193,178.20, 289,767.30 and 110,234.20

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Solution

The fourth proportional to 193,178.20, 289,767.30 and 110,234.20 is: 165,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,178.20 : 289,767.30 = 110,234.20 : x
  2. Step 2: Convert to fraction form
    193,178.20/289,767.30 = 110,234.20/x
  3. Step 3: Cross multiply
    193,178.20x = 289,767.30 × 110,234.20
  4. Step 4: Simplify right side
    193,178.20x = 31,942,266,501.66
  5. Step 5: Solve for x
    x = 31,942,266,501.66/193,178.20
  6. Step 6: Final answer
    x = 165,351.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.