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Finding the Fourth Proportional to 221,185.54, 305,236.20 and 120,583.54

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Solution

The fourth proportional to 221,185.54, 305,236.20 and 120,583.54 is: 166,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,185.54 : 305,236.20 = 120,583.54 : x
  2. Step 2: Convert to fraction form
    221,185.54/305,236.20 = 120,583.54/x
  3. Step 3: Cross multiply
    221,185.54x = 305,236.20 × 120,583.54
  4. Step 4: Simplify right side
    221,185.54x = 36,806,461,532.15
  5. Step 5: Solve for x
    x = 36,806,461,532.15/221,185.54
  6. Step 6: Final answer
    x = 166,405.37

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1.5x scale

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.