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Finding the Fourth Proportional to 273,324.81, 410,105.62 and 146,817.45

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Solution

The fourth proportional to 273,324.81, 410,105.62 and 146,817.45 is: 220,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,324.81 : 410,105.62 = 146,817.45 : x
  2. Step 2: Convert to fraction form
    273,324.81/410,105.62 = 146,817.45/x
  3. Step 3: Cross multiply
    273,324.81x = 410,105.62 × 146,817.45
  4. Step 4: Simplify right side
    273,324.81x = 60,210,660,759.42
  5. Step 5: Solve for x
    x = 60,210,660,759.42/273,324.81
  6. Step 6: Final answer
    x = 220,289.78

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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.