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Finding the Fourth Proportional to 233,102.44, 349,653.64 and 154,198.20

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Solution

The fourth proportional to 233,102.44, 349,653.64 and 154,198.20 is: 231,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102.44 : 349,653.64 = 154,198.20 : x
  2. Step 2: Convert to fraction form
    233,102.44/349,653.64 = 154,198.20/x
  3. Step 3: Cross multiply
    233,102.44x = 349,653.64 × 154,198.20
  4. Step 4: Simplify right side
    233,102.44x = 53,915,961,911.45
  5. Step 5: Solve for x
    x = 53,915,961,911.45/233,102.44
  6. Step 6: Final answer
    x = 231,297.29

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1.5x scale

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.