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Finding the Fourth Proportional to 273,955.05, 410,965.38 and 116,163

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Solution

The fourth proportional to 273,955.05, 410,965.38 and 116,163 is: 174,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,955.05 : 410,965.38 = 116,163 : x
  2. Step 2: Convert to fraction form
    273,955.05/410,965.38 = 116,163/x
  3. Step 3: Cross multiply
    273,955.05x = 410,965.38 × 116,163
  4. Step 4: Simplify right side
    273,955.05x = 47,738,971,436.94
  5. Step 5: Solve for x
    x = 47,738,971,436.94/273,955.05
  6. Step 6: Final answer
    x = 174,258.41

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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.