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Finding the Fourth Proportional to 146,506.68, 202,183.20 and 82,854

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Solution

The fourth proportional to 146,506.68, 202,183.20 and 82,854 is: 114,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.68 : 202,183.20 = 82,854 : x
  2. Step 2: Convert to fraction form
    146,506.68/202,183.20 = 82,854/x
  3. Step 3: Cross multiply
    146,506.68x = 202,183.20 × 82,854
  4. Step 4: Simplify right side
    146,506.68x = 16,751,686,852.80
  5. Step 5: Solve for x
    x = 16,751,686,852.80/146,506.68
  6. Step 6: Final answer
    x = 114,340.77

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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.