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Finding the Fourth Proportional to 106,395.44, 159,393.84 and 95,441

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Solution

The fourth proportional to 106,395.44, 159,393.84 and 95,441 is: 142,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.44 : 159,393.84 = 95,441 : x
  2. Step 2: Convert to fraction form
    106,395.44/159,393.84 = 95,441/x
  3. Step 3: Cross multiply
    106,395.44x = 159,393.84 × 95,441
  4. Step 4: Simplify right side
    106,395.44x = 15,212,707,483.44
  5. Step 5: Solve for x
    x = 15,212,707,483.44/106,395.44
  6. Step 6: Final answer
    x = 142,982.70

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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.