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Finding the Fourth Proportional to 221,727.65, 332,992.35 and 204,842.48

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Solution

The fourth proportional to 221,727.65, 332,992.35 and 204,842.48 is: 307,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,727.65 : 332,992.35 = 204,842.48 : x
  2. Step 2: Convert to fraction form
    221,727.65/332,992.35 = 204,842.48/x
  3. Step 3: Cross multiply
    221,727.65x = 332,992.35 × 204,842.48
  4. Step 4: Simplify right side
    221,727.65x = 68,210,977,130.07
  5. Step 5: Solve for x
    x = 68,210,977,130.07/221,727.65
  6. Step 6: Final answer
    x = 307,634.07

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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.