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Finding the Fourth Proportional to 220,923.20, 304,873.98 and 120,321.20

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Solution

The fourth proportional to 220,923.20, 304,873.98 and 120,321.20 is: 166,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923.20 : 304,873.98 = 120,321.20 : x
  2. Step 2: Convert to fraction form
    220,923.20/304,873.98 = 120,321.20/x
  3. Step 3: Cross multiply
    220,923.20x = 304,873.98 × 120,321.20
  4. Step 4: Simplify right side
    220,923.20x = 36,682,803,122.38
  5. Step 5: Solve for x
    x = 36,682,803,122.38/220,923.20
  6. Step 6: Final answer
    x = 166,043.24

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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.