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Finding the Fourth Proportional to 264,865.20, 397,297.80 and 122,710.20

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Solution

The fourth proportional to 264,865.20, 397,297.80 and 122,710.20 is: 184,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,865.20 : 397,297.80 = 122,710.20 : x
  2. Step 2: Convert to fraction form
    264,865.20/397,297.80 = 122,710.20/x
  3. Step 3: Cross multiply
    264,865.20x = 397,297.80 × 122,710.20
  4. Step 4: Simplify right side
    264,865.20x = 48,752,492,497.56
  5. Step 5: Solve for x
    x = 48,752,492,497.56/264,865.20
  6. Step 6: Final answer
    x = 184,065.30

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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.