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Finding the Fourth Proportional to 186,249.41, 257,021.61 and 109,771.67

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Solution

The fourth proportional to 186,249.41, 257,021.61 and 109,771.67 is: 151,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,249.41 : 257,021.61 = 109,771.67 : x
  2. Step 2: Convert to fraction form
    186,249.41/257,021.61 = 109,771.67/x
  3. Step 3: Cross multiply
    186,249.41x = 257,021.61 × 109,771.67
  4. Step 4: Simplify right side
    186,249.41x = 28,213,691,586.70
  5. Step 5: Solve for x
    x = 28,213,691,586.70/186,249.41
  6. Step 6: Final answer
    x = 151,483.39

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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.