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Finding the Fourth Proportional to 322,122.30, 482,818.88 and 164,016.78

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Solution

The fourth proportional to 322,122.30, 482,818.88 and 164,016.78 is: 245,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,122.30 : 482,818.88 = 164,016.78 : x
  2. Step 2: Convert to fraction form
    322,122.30/482,818.88 = 164,016.78/x
  3. Step 3: Cross multiply
    322,122.30x = 482,818.88 × 164,016.78
  4. Step 4: Simplify right side
    322,122.30x = 79,190,398,020.81
  5. Step 5: Solve for x
    x = 79,190,398,020.81/322,122.30
  6. Step 6: Final answer
    x = 245,839.54

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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.