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Finding the Fourth Proportional to 288,164.56, 397,682.64 and 160,839.04

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Solution

The fourth proportional to 288,164.56, 397,682.64 and 160,839.04 is: 221,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,164.56 : 397,682.64 = 160,839.04 : x
  2. Step 2: Convert to fraction form
    288,164.56/397,682.64 = 160,839.04/x
  3. Step 3: Cross multiply
    288,164.56x = 397,682.64 × 160,839.04
  4. Step 4: Simplify right side
    288,164.56x = 63,962,894,042.27
  5. Step 5: Solve for x
    x = 63,962,894,042.27/288,164.56
  6. Step 6: Final answer
    x = 221,966.55

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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.