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Finding the Fourth Proportional to 298,195.11, 411,510.23 and 162,229.03

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Solution

The fourth proportional to 298,195.11, 411,510.23 and 162,229.03 is: 223,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,195.11 : 411,510.23 = 162,229.03 : x
  2. Step 2: Convert to fraction form
    298,195.11/411,510.23 = 162,229.03/x
  3. Step 3: Cross multiply
    298,195.11x = 411,510.23 × 162,229.03
  4. Step 4: Simplify right side
    298,195.11x = 66,758,904,216.42
  5. Step 5: Solve for x
    x = 66,758,904,216.42/298,195.11
  6. Step 6: Final answer
    x = 223,876.59

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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.