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Finding the Fourth Proportional to 268,825.43, 370,976.16 and 147,964.12

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Solution

The fourth proportional to 268,825.43, 370,976.16 and 147,964.12 is: 204,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,825.43 : 370,976.16 = 147,964.12 : x
  2. Step 2: Convert to fraction form
    268,825.43/370,976.16 = 147,964.12/x
  3. Step 3: Cross multiply
    268,825.43x = 370,976.16 × 147,964.12
  4. Step 4: Simplify right side
    268,825.43x = 54,891,161,055.38
  5. Step 5: Solve for x
    x = 54,891,161,055.38/268,825.43
  6. Step 6: Final answer
    x = 204,188.87

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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.