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Finding the Fourth Proportional to 306,751.91, 460,134.23 and 82,112.06

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Solution

The fourth proportional to 306,751.91, 460,134.23 and 82,112.06 is: 123,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,751.91 : 460,134.23 = 82,112.06 : x
  2. Step 2: Convert to fraction form
    306,751.91/460,134.23 = 82,112.06/x
  3. Step 3: Cross multiply
    306,751.91x = 460,134.23 × 82,112.06
  4. Step 4: Simplify right side
    306,751.91x = 37,782,570,241.59
  5. Step 5: Solve for x
    x = 37,782,570,241.59/306,751.91
  6. Step 6: Final answer
    x = 123,169.80

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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.