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Finding the Fourth Proportional to 281,725.80, 422,658 and 82,048.04

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Solution

The fourth proportional to 281,725.80, 422,658 and 82,048.04 is: 123,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,725.80 : 422,658 = 82,048.04 : x
  2. Step 2: Convert to fraction form
    281,725.80/422,658 = 82,048.04/x
  3. Step 3: Cross multiply
    281,725.80x = 422,658 × 82,048.04
  4. Step 4: Simplify right side
    281,725.80x = 34,678,259,962.00
  5. Step 5: Solve for x
    x = 34,678,259,962.00/281,725.80
  6. Step 6: Final answer
    x = 123,092.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.