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Finding the Fourth Proportional to 298,147.98, 411,451.72 and 162,189.56

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Solution

The fourth proportional to 298,147.98, 411,451.72 and 162,189.56 is: 223,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,147.98 : 411,451.72 = 162,189.56 : x
  2. Step 2: Convert to fraction form
    298,147.98/411,451.72 = 162,189.56/x
  3. Step 3: Cross multiply
    298,147.98x = 411,451.72 × 162,189.56
  4. Step 4: Simplify right side
    298,147.98x = 66,733,173,428.04
  5. Step 5: Solve for x
    x = 66,733,173,428.04/298,147.98
  6. Step 6: Final answer
    x = 223,825.68

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