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Finding the Fourth Proportional to 381,885.14, 571,955.14 and 182,345.29

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Solution

The fourth proportional to 381,885.14, 571,955.14 and 182,345.29 is: 273,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,885.14 : 571,955.14 = 182,345.29 : x
  2. Step 2: Convert to fraction form
    381,885.14/571,955.14 = 182,345.29/x
  3. Step 3: Cross multiply
    381,885.14x = 571,955.14 × 182,345.29
  4. Step 4: Simplify right side
    381,885.14x = 104,293,324,668.33
  5. Step 5: Solve for x
    x = 104,293,324,668.33/381,885.14
  6. Step 6: Final answer
    x = 273,101.29

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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.