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Finding the Fourth Proportional to 209,634.30, 288,744.21 and 161,143.38

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Solution

The fourth proportional to 209,634.30, 288,744.21 and 161,143.38 is: 221,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,634.30 : 288,744.21 = 161,143.38 : x
  2. Step 2: Convert to fraction form
    209,634.30/288,744.21 = 161,143.38/x
  3. Step 3: Cross multiply
    209,634.30x = 288,744.21 × 161,143.38
  4. Step 4: Simplify right side
    209,634.30x = 46,529,217,954.83
  5. Step 5: Solve for x
    x = 46,529,217,954.83/209,634.30
  6. Step 6: Final answer
    x = 221,954.22

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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.