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Finding the Fourth Proportional to 298,243.76, 447,227.40 and 111,205.04

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Solution

The fourth proportional to 298,243.76, 447,227.40 and 111,205.04 is: 166,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,243.76 : 447,227.40 = 111,205.04 : x
  2. Step 2: Convert to fraction form
    298,243.76/447,227.40 = 111,205.04/x
  3. Step 3: Cross multiply
    298,243.76x = 447,227.40 × 111,205.04
  4. Step 4: Simplify right side
    298,243.76x = 49,733,940,906.10
  5. Step 5: Solve for x
    x = 49,733,940,906.10/298,243.76
  6. Step 6: Final answer
    x = 166,756.01

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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.