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Finding the Fourth Proportional to 234,840, 324,079.20 and 134,240.16

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Solution

The fourth proportional to 234,840, 324,079.20 and 134,240.16 is: 185,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,840 : 324,079.20 = 134,240.16 : x
  2. Step 2: Convert to fraction form
    234,840/324,079.20 = 134,240.16/x
  3. Step 3: Cross multiply
    234,840x = 324,079.20 × 134,240.16
  4. Step 4: Simplify right side
    234,840x = 43,504,443,660.67
  5. Step 5: Solve for x
    x = 43,504,443,660.67/234,840
  6. Step 6: Final answer
    x = 185,251.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.