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Finding the Fourth Proportional to 234,843, 324,083.34 and 134,243.16

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Solution

The fourth proportional to 234,843, 324,083.34 and 134,243.16 is: 185,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,843 : 324,083.34 = 134,243.16 : x
  2. Step 2: Convert to fraction form
    234,843/324,083.34 = 134,243.16/x
  3. Step 3: Cross multiply
    234,843x = 324,083.34 × 134,243.16
  4. Step 4: Simplify right side
    234,843x = 43,505,971,664.95
  5. Step 5: Solve for x
    x = 43,505,971,664.95/234,843
  6. Step 6: Final answer
    x = 185,255.56

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1.5x scale

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.