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Finding the Fourth Proportional to 274,823.94, 412,169.58 and 114,813.42

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Solution

The fourth proportional to 274,823.94, 412,169.58 and 114,813.42 is: 172,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,823.94 : 412,169.58 = 114,813.42 : x
  2. Step 2: Convert to fraction form
    274,823.94/412,169.58 = 114,813.42/x
  3. Step 3: Cross multiply
    274,823.94x = 412,169.58 × 114,813.42
  4. Step 4: Simplify right side
    274,823.94x = 47,322,599,099.76
  5. Step 5: Solve for x
    x = 47,322,599,099.76/274,823.94
  6. Step 6: Final answer
    x = 172,192.42

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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.