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Finding the Fourth Proportional to 266,996.14, 368,451.84 and 144,485.83

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Solution

The fourth proportional to 266,996.14, 368,451.84 and 144,485.83 is: 199,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,996.14 : 368,451.84 = 144,485.83 : x
  2. Step 2: Convert to fraction form
    266,996.14/368,451.84 = 144,485.83/x
  3. Step 3: Cross multiply
    266,996.14x = 368,451.84 × 144,485.83
  4. Step 4: Simplify right side
    266,996.14x = 53,236,069,917.43
  5. Step 5: Solve for x
    x = 53,236,069,917.43/266,996.14
  6. Step 6: Final answer
    x = 199,388.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.