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Finding the Fourth Proportional to 146,480.49, 202,148.51 and 82,814.49

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Solution

The fourth proportional to 146,480.49, 202,148.51 and 82,814.49 is: 114,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480.49 : 202,148.51 = 82,814.49 : x
  2. Step 2: Convert to fraction form
    146,480.49/202,148.51 = 82,814.49/x
  3. Step 3: Cross multiply
    146,480.49x = 202,148.51 × 82,814.49
  4. Step 4: Simplify right side
    146,480.49x = 16,740,825,759.91
  5. Step 5: Solve for x
    x = 16,740,825,759.91/146,480.49
  6. Step 6: Final answer
    x = 114,287.07

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1.5x scale

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.