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Finding the Fourth Proportional to 381,081.89, 571,696.95 and 114,829.22

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Solution

The fourth proportional to 381,081.89, 571,696.95 and 114,829.22 is: 172,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.89 : 571,696.95 = 114,829.22 : x
  2. Step 2: Convert to fraction form
    381,081.89/571,696.95 = 114,829.22/x
  3. Step 3: Cross multiply
    381,081.89x = 571,696.95 × 114,829.22
  4. Step 4: Simplify right side
    381,081.89x = 65,647,514,844.88
  5. Step 5: Solve for x
    x = 65,647,514,844.88/381,081.89
  6. Step 6: Final answer
    x = 172,266.16

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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.