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Finding the Fourth Proportional to 149,896.32, 206,848.80 and 82,824

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Solution

The fourth proportional to 149,896.32, 206,848.80 and 82,824 is: 114,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,896.32 : 206,848.80 = 82,824 : x
  2. Step 2: Convert to fraction form
    149,896.32/206,848.80 = 82,824/x
  3. Step 3: Cross multiply
    149,896.32x = 206,848.80 × 82,824
  4. Step 4: Simplify right side
    149,896.32x = 17,132,045,011.20
  5. Step 5: Solve for x
    x = 17,132,045,011.20/149,896.32
  6. Step 6: Final answer
    x = 114,292.63

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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.