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Finding the Fourth Proportional to 266,796.51, 400,195.41 and 109,024.98

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Solution

The fourth proportional to 266,796.51, 400,195.41 and 109,024.98 is: 163,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,796.51 : 400,195.41 = 109,024.98 : x
  2. Step 2: Convert to fraction form
    266,796.51/400,195.41 = 109,024.98/x
  3. Step 3: Cross multiply
    266,796.51x = 400,195.41 × 109,024.98
  4. Step 4: Simplify right side
    266,796.51x = 43,631,296,571.34
  5. Step 5: Solve for x
    x = 43,631,296,571.34/266,796.51
  6. Step 6: Final answer
    x = 163,537.73

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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.