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Finding the Fourth Proportional to 229,906.32, 344,861.40 and 80,146.37

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Solution

The fourth proportional to 229,906.32, 344,861.40 and 80,146.37 is: 120,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,906.32 : 344,861.40 = 80,146.37 : x
  2. Step 2: Convert to fraction form
    229,906.32/344,861.40 = 80,146.37/x
  3. Step 3: Cross multiply
    229,906.32x = 344,861.40 × 80,146.37
  4. Step 4: Simplify right side
    229,906.32x = 27,639,389,363.12
  5. Step 5: Solve for x
    x = 27,639,389,363.12/229,906.32
  6. Step 6: Final answer
    x = 120,220.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.