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Finding the Fourth Proportional to 234,859.44, 324,101.94 and 142,945.50

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Solution

The fourth proportional to 234,859.44, 324,101.94 and 142,945.50 is: 197,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,859.44 : 324,101.94 = 142,945.50 : x
  2. Step 2: Convert to fraction form
    234,859.44/324,101.94 = 142,945.50/x
  3. Step 3: Cross multiply
    234,859.44x = 324,101.94 × 142,945.50
  4. Step 4: Simplify right side
    234,859.44x = 46,328,913,864.27
  5. Step 5: Solve for x
    x = 46,328,913,864.27/234,859.44
  6. Step 6: Final answer
    x = 197,262.30

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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.