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Finding the Fourth Proportional to 183,174.92, 274,289.22 and 126,424

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Solution

The fourth proportional to 183,174.92, 274,289.22 and 126,424 is: 189,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,174.92 : 274,289.22 = 126,424 : x
  2. Step 2: Convert to fraction form
    183,174.92/274,289.22 = 126,424/x
  3. Step 3: Cross multiply
    183,174.92x = 274,289.22 × 126,424
  4. Step 4: Simplify right side
    183,174.92x = 34,676,740,349.28
  5. Step 5: Solve for x
    x = 34,676,740,349.28/183,174.92
  6. Step 6: Final answer
    x = 189,309.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.