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Finding the Fourth Proportional to 186,771.75, 257,745.78 and 101,890.59

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Solution

The fourth proportional to 186,771.75, 257,745.78 and 101,890.59 is: 140,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,771.75 : 257,745.78 = 101,890.59 : x
  2. Step 2: Convert to fraction form
    186,771.75/257,745.78 = 101,890.59/x
  3. Step 3: Cross multiply
    186,771.75x = 257,745.78 × 101,890.59
  4. Step 4: Simplify right side
    186,771.75x = 26,261,869,594.21
  5. Step 5: Solve for x
    x = 26,261,869,594.21/186,771.75
  6. Step 6: Final answer
    x = 140,609.43

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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.