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Finding the Fourth Proportional to 199,796.38, 275,724.42 and 119,270.64

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Solution

The fourth proportional to 199,796.38, 275,724.42 and 119,270.64 is: 164,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,796.38 : 275,724.42 = 119,270.64 : x
  2. Step 2: Convert to fraction form
    199,796.38/275,724.42 = 119,270.64/x
  3. Step 3: Cross multiply
    199,796.38x = 275,724.42 × 119,270.64
  4. Step 4: Simplify right side
    199,796.38x = 32,885,828,037.03
  5. Step 5: Solve for x
    x = 32,885,828,037.03/199,796.38
  6. Step 6: Final answer
    x = 164,596.72

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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.