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Finding the Fourth Proportional to 187,482, 281,224 and 76,674

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Solution

The fourth proportional to 187,482, 281,224 and 76,674 is: 115,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,482 : 281,224 = 76,674 : x
  2. Step 2: Convert to fraction form
    187,482/281,224 = 76,674/x
  3. Step 3: Cross multiply
    187,482x = 281,224 × 76,674
  4. Step 4: Simplify right side
    187,482x = 21,562,568,976
  5. Step 5: Solve for x
    x = 21,562,568,976/187,482
  6. Step 6: Final answer
    x = 115,011.41

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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.