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Finding the Fourth Proportional to 187,825.70, 281,771.39 and 82,641.94

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Solution

The fourth proportional to 187,825.70, 281,771.39 and 82,641.94 is: 123,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,825.70 : 281,771.39 = 82,641.94 : x
  2. Step 2: Convert to fraction form
    187,825.70/281,771.39 = 82,641.94/x
  3. Step 3: Cross multiply
    187,825.70x = 281,771.39 × 82,641.94
  4. Step 4: Simplify right side
    187,825.70x = 23,286,133,808.27
  5. Step 5: Solve for x
    x = 23,286,133,808.27/187,825.70
  6. Step 6: Final answer
    x = 123,977.36

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1.5x scale

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.