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Finding the Fourth Proportional to 274,325.52, 411,506.50 and 105,847.94

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Solution

The fourth proportional to 274,325.52, 411,506.50 and 105,847.94 is: 158,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,325.52 : 411,506.50 = 105,847.94 : x
  2. Step 2: Convert to fraction form
    274,325.52/411,506.50 = 105,847.94/x
  3. Step 3: Cross multiply
    274,325.52x = 411,506.50 × 105,847.94
  4. Step 4: Simplify right side
    274,325.52x = 43,557,115,321.61
  5. Step 5: Solve for x
    x = 43,557,115,321.61/274,325.52
  6. Step 6: Final answer
    x = 158,778.94

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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.