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Finding the Fourth Proportional to 195,523.10, 269,820.89 and 106,099.10

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Solution

The fourth proportional to 195,523.10, 269,820.89 and 106,099.10 is: 146,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.10 : 269,820.89 = 106,099.10 : x
  2. Step 2: Convert to fraction form
    195,523.10/269,820.89 = 106,099.10/x
  3. Step 3: Cross multiply
    195,523.10x = 269,820.89 × 106,099.10
  4. Step 4: Simplify right side
    195,523.10x = 28,627,753,590.20
  5. Step 5: Solve for x
    x = 28,627,753,590.20/195,523.10
  6. Step 6: Final answer
    x = 146,416.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.