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Finding the Fourth Proportional to 381,081.64, 571,696.58 and 114,828.97

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Solution

The fourth proportional to 381,081.64, 571,696.58 and 114,828.97 is: 172,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.64 : 571,696.58 = 114,828.97 : x
  2. Step 2: Convert to fraction form
    381,081.64/571,696.58 = 114,828.97/x
  3. Step 3: Cross multiply
    381,081.64x = 571,696.58 × 114,828.97
  4. Step 4: Simplify right side
    381,081.64x = 65,647,329,433.92
  5. Step 5: Solve for x
    x = 65,647,329,433.92/381,081.64
  6. Step 6: Final answer
    x = 172,265.79

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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.