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Finding the Fourth Proportional to 234,962.94, 324,251.20 and 127,534

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Solution

The fourth proportional to 234,962.94, 324,251.20 and 127,534 is: 175,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,962.94 : 324,251.20 = 127,534 : x
  2. Step 2: Convert to fraction form
    234,962.94/324,251.20 = 127,534/x
  3. Step 3: Cross multiply
    234,962.94x = 324,251.20 × 127,534
  4. Step 4: Simplify right side
    234,962.94x = 41,353,052,540.80
  5. Step 5: Solve for x
    x = 41,353,052,540.80/234,962.94
  6. Step 6: Final answer
    x = 175,998.19

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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.