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Finding the Fourth Proportional to 193,234.30, 289,621.05 and 80,914.30

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Solution

The fourth proportional to 193,234.30, 289,621.05 and 80,914.30 is: 121,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,234.30 : 289,621.05 = 80,914.30 : x
  2. Step 2: Convert to fraction form
    193,234.30/289,621.05 = 80,914.30/x
  3. Step 3: Cross multiply
    193,234.30x = 289,621.05 × 80,914.30
  4. Step 4: Simplify right side
    193,234.30x = 23,434,484,526.02
  5. Step 5: Solve for x
    x = 23,434,484,526.02/193,234.30
  6. Step 6: Final answer
    x = 121,274.97

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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.