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Finding the Fourth Proportional to 146,479.49, 202,147.13 and 82,813.49

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Solution

The fourth proportional to 146,479.49, 202,147.13 and 82,813.49 is: 114,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,479.49 : 202,147.13 = 82,813.49 : x
  2. Step 2: Convert to fraction form
    146,479.49/202,147.13 = 82,813.49/x
  3. Step 3: Cross multiply
    146,479.49x = 202,147.13 × 82,813.49
  4. Step 4: Simplify right side
    146,479.49x = 16,740,508,525.08
  5. Step 5: Solve for x
    x = 16,740,508,525.08/146,479.49
  6. Step 6: Final answer
    x = 114,285.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.