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Finding the Fourth Proportional to 146,863.49, 202,671.11 and 83,213.42

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Solution

The fourth proportional to 146,863.49, 202,671.11 and 83,213.42 is: 114,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,863.49 : 202,671.11 = 83,213.42 : x
  2. Step 2: Convert to fraction form
    146,863.49/202,671.11 = 83,213.42/x
  3. Step 3: Cross multiply
    146,863.49x = 202,671.11 × 83,213.42
  4. Step 4: Simplify right side
    146,863.49x = 16,864,955,392.97
  5. Step 5: Solve for x
    x = 16,864,955,392.97/146,863.49
  6. Step 6: Final answer
    x = 114,834.23

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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.