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Finding the Fourth Proportional to 298,098, 411,380.56 and 162,134.96

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Solution

The fourth proportional to 298,098, 411,380.56 and 162,134.96 is: 223,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098 : 411,380.56 = 162,134.96 : x
  2. Step 2: Convert to fraction form
    298,098/411,380.56 = 162,134.96/x
  3. Step 3: Cross multiply
    298,098x = 411,380.56 × 162,134.96
  4. Step 4: Simplify right side
    298,098x = 66,699,170,640.38
  5. Step 5: Solve for x
    x = 66,699,170,640.38/298,098
  6. Step 6: Final answer
    x = 223,749.14

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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.