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Finding the Fourth Proportional to 204,984.30, 307,606.05 and 120,744.30

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Solution

The fourth proportional to 204,984.30, 307,606.05 and 120,744.30 is: 181,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,984.30 : 307,606.05 = 120,744.30 : x
  2. Step 2: Convert to fraction form
    204,984.30/307,606.05 = 120,744.30/x
  3. Step 3: Cross multiply
    204,984.30x = 307,606.05 × 120,744.30
  4. Step 4: Simplify right side
    204,984.30x = 37,141,677,183.02
  5. Step 5: Solve for x
    x = 37,141,677,183.02/204,984.30
  6. Step 6: Final answer
    x = 181,192.79

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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.