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Finding the Fourth Proportional to 298,164.96, 411,475.16 and 162,206.56

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Solution

The fourth proportional to 298,164.96, 411,475.16 and 162,206.56 is: 223,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,164.96 : 411,475.16 = 162,206.56 : x
  2. Step 2: Convert to fraction form
    298,164.96/411,475.16 = 162,206.56/x
  3. Step 3: Cross multiply
    298,164.96x = 411,475.16 × 162,206.56
  4. Step 4: Simplify right side
    298,164.96x = 66,743,970,229.05
  5. Step 5: Solve for x
    x = 66,743,970,229.05/298,164.96
  6. Step 6: Final answer
    x = 223,849.14

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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.