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Finding the Fourth Proportional to 273,964.40, 411,023.40 and 133,727.60

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Solution

The fourth proportional to 273,964.40, 411,023.40 and 133,727.60 is: 200,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,964.40 : 411,023.40 = 133,727.60 : x
  2. Step 2: Convert to fraction form
    273,964.40/411,023.40 = 133,727.60/x
  3. Step 3: Cross multiply
    273,964.40x = 411,023.40 × 133,727.60
  4. Step 4: Simplify right side
    273,964.40x = 54,965,172,825.84
  5. Step 5: Solve for x
    x = 54,965,172,825.84/273,964.40
  6. Step 6: Final answer
    x = 200,628.89

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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.