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Finding the Fourth Proportional to 195,693.44, 270,052.80 and 106,269.44

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Solution

The fourth proportional to 195,693.44, 270,052.80 and 106,269.44 is: 146,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,693.44 : 270,052.80 = 106,269.44 : x
  2. Step 2: Convert to fraction form
    195,693.44/270,052.80 = 106,269.44/x
  3. Step 3: Cross multiply
    195,693.44x = 270,052.80 × 106,269.44
  4. Step 4: Simplify right side
    195,693.44x = 28,698,359,826.43
  5. Step 5: Solve for x
    x = 28,698,359,826.43/195,693.44
  6. Step 6: Final answer
    x = 146,649.58

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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.