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Finding the Fourth Proportional to 95,311.44, 142,741.72 and 82,763.27

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Solution

The fourth proportional to 95,311.44, 142,741.72 and 82,763.27 is: 123,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,311.44 : 142,741.72 = 82,763.27 : x
  2. Step 2: Convert to fraction form
    95,311.44/142,741.72 = 82,763.27/x
  3. Step 3: Cross multiply
    95,311.44x = 142,741.72 × 82,763.27
  4. Step 4: Simplify right side
    95,311.44x = 11,813,771,437.65
  5. Step 5: Solve for x
    x = 11,813,771,437.65/95,311.44
  6. Step 6: Final answer
    x = 123,949.14

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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.