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Finding the Fourth Proportional to 221,551.38, 305,739.35 and 120,949.38

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Solution

The fourth proportional to 221,551.38, 305,739.35 and 120,949.38 is: 166,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,551.38 : 305,739.35 = 120,949.38 : x
  2. Step 2: Convert to fraction form
    221,551.38/305,739.35 = 120,949.38/x
  3. Step 3: Cross multiply
    221,551.38x = 305,739.35 × 120,949.38
  4. Step 4: Simplify right side
    221,551.38x = 36,978,986,273.00
  5. Step 5: Solve for x
    x = 36,978,986,273.00/221,551.38
  6. Step 6: Final answer
    x = 166,909.30

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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.