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Finding the Fourth Proportional to 213,874, 295,224 and 124,450

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Solution

The fourth proportional to 213,874, 295,224 and 124,450 is: 171,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,874 : 295,224 = 124,450 : x
  2. Step 2: Convert to fraction form
    213,874/295,224 = 124,450/x
  3. Step 3: Cross multiply
    213,874x = 295,224 × 124,450
  4. Step 4: Simplify right side
    213,874x = 36,740,626,800
  5. Step 5: Solve for x
    x = 36,740,626,800/213,874
  6. Step 6: Final answer
    x = 171,786.32

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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.