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Finding the Fourth Proportional to 221,446.52, 305,597.04 and 120,844.52

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Solution

The fourth proportional to 221,446.52, 305,597.04 and 120,844.52 is: 166,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,446.52 : 305,597.04 = 120,844.52 : x
  2. Step 2: Convert to fraction form
    221,446.52/305,597.04 = 120,844.52/x
  3. Step 3: Cross multiply
    221,446.52x = 305,597.04 × 120,844.52
  4. Step 4: Simplify right side
    221,446.52x = 36,929,727,612.22
  5. Step 5: Solve for x
    x = 36,929,727,612.22/221,446.52
  6. Step 6: Final answer
    x = 166,765.90

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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.