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Finding the Fourth Proportional to 266,796.63, 400,195.62 and 109,025.08

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Solution

The fourth proportional to 266,796.63, 400,195.62 and 109,025.08 is: 163,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,796.63 : 400,195.62 = 109,025.08 : x
  2. Step 2: Convert to fraction form
    266,796.63/400,195.62 = 109,025.08/x
  3. Step 3: Cross multiply
    266,796.63x = 400,195.62 × 109,025.08
  4. Step 4: Simplify right side
    266,796.63x = 43,631,358,485.66
  5. Step 5: Solve for x
    x = 43,631,358,485.66/266,796.63
  6. Step 6: Final answer
    x = 163,537.89

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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.