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Finding the Fourth Proportional to 299,174.92, 412,650.05 and 178,222.88

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Solution

The fourth proportional to 299,174.92, 412,650.05 and 178,222.88 is: 245,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,174.92 : 412,650.05 = 178,222.88 : x
  2. Step 2: Convert to fraction form
    299,174.92/412,650.05 = 178,222.88/x
  3. Step 3: Cross multiply
    299,174.92x = 412,650.05 × 178,222.88
  4. Step 4: Simplify right side
    299,174.92x = 73,543,680,483.65
  5. Step 5: Solve for x
    x = 73,543,680,483.65/299,174.92
  6. Step 6: Final answer
    x = 245,821.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.