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Finding the Fourth Proportional to 307,162.64, 460,553.88 and 119,954

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Solution

The fourth proportional to 307,162.64, 460,553.88 and 119,954 is: 179,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,162.64 : 460,553.88 = 119,954 : x
  2. Step 2: Convert to fraction form
    307,162.64/460,553.88 = 119,954/x
  3. Step 3: Cross multiply
    307,162.64x = 460,553.88 × 119,954
  4. Step 4: Simplify right side
    307,162.64x = 55,245,280,121.52
  5. Step 5: Solve for x
    x = 55,245,280,121.52/307,162.64
  6. Step 6: Final answer
    x = 179,856.77

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Why These Related Problems?

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