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Finding the Fourth Proportional to 234,871.98, 324,119.16 and 142,958.04

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Solution

The fourth proportional to 234,871.98, 324,119.16 and 142,958.04 is: 197,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,871.98 : 324,119.16 = 142,958.04 : x
  2. Step 2: Convert to fraction form
    234,871.98/324,119.16 = 142,958.04/x
  3. Step 3: Cross multiply
    234,871.98x = 324,119.16 × 142,958.04
  4. Step 4: Simplify right side
    234,871.98x = 46,335,439,840.05
  5. Step 5: Solve for x
    x = 46,335,439,840.05/234,871.98
  6. Step 6: Final answer
    x = 197,279.56

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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.