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Finding the Fourth Proportional to 234,360, 323,418.06 and 126,930.33

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Solution

The fourth proportional to 234,360, 323,418.06 and 126,930.33 is: 175,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,360 : 323,418.06 = 126,930.33 : x
  2. Step 2: Convert to fraction form
    234,360/323,418.06 = 126,930.33/x
  3. Step 3: Cross multiply
    234,360x = 323,418.06 × 126,930.33
  4. Step 4: Simplify right side
    234,360x = 41,051,561,083.76
  5. Step 5: Solve for x
    x = 41,051,561,083.76/234,360
  6. Step 6: Final answer
    x = 175,164.54

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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.