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Finding the Fourth Proportional to 106,396.44, 159,395.34 and 95,442

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Solution

The fourth proportional to 106,396.44, 159,395.34 and 95,442 is: 142,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,396.44 : 159,395.34 = 95,442 : x
  2. Step 2: Convert to fraction form
    106,396.44/159,395.34 = 95,442/x
  3. Step 3: Cross multiply
    106,396.44x = 159,395.34 × 95,442
  4. Step 4: Simplify right side
    106,396.44x = 15,213,010,040.28
  5. Step 5: Solve for x
    x = 15,213,010,040.28/106,396.44
  6. Step 6: Final answer
    x = 142,984.20

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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.