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Finding the Fourth Proportional to 149,497.26, 206,305.47 and 82,429.26

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Solution

The fourth proportional to 149,497.26, 206,305.47 and 82,429.26 is: 113,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,497.26 : 206,305.47 = 82,429.26 : x
  2. Step 2: Convert to fraction form
    149,497.26/206,305.47 = 82,429.26/x
  3. Step 3: Cross multiply
    149,497.26x = 206,305.47 × 82,429.26
  4. Step 4: Simplify right side
    149,497.26x = 17,005,607,226.05
  5. Step 5: Solve for x
    x = 17,005,607,226.05/149,497.26
  6. Step 6: Final answer
    x = 113,751.97

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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.