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Finding the Fourth Proportional to 234,661.82, 323,741.72 and 153,085.97

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Solution

The fourth proportional to 234,661.82, 323,741.72 and 153,085.97 is: 211,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,661.82 : 323,741.72 = 153,085.97 : x
  2. Step 2: Convert to fraction form
    234,661.82/323,741.72 = 153,085.97/x
  3. Step 3: Cross multiply
    234,661.82x = 323,741.72 × 153,085.97
  4. Step 4: Simplify right side
    234,661.82x = 49,560,314,176.14
  5. Step 5: Solve for x
    x = 49,560,314,176.14/234,661.82
  6. Step 6: Final answer
    x = 211,198.89

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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.