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Finding the Fourth Proportional to 266,453.25, 399,964.41 and 114,725.42

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Solution

The fourth proportional to 266,453.25, 399,964.41 and 114,725.42 is: 172,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,453.25 : 399,964.41 = 114,725.42 : x
  2. Step 2: Convert to fraction form
    266,453.25/399,964.41 = 114,725.42/x
  3. Step 3: Cross multiply
    266,453.25x = 399,964.41 × 114,725.42
  4. Step 4: Simplify right side
    266,453.25x = 45,886,082,922.48
  5. Step 5: Solve for x
    x = 45,886,082,922.48/266,453.25
  6. Step 6: Final answer
    x = 172,210.63

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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.