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Finding the Fourth Proportional to 82,143.87, 123,230.97 and 25,998.09

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Solution

The fourth proportional to 82,143.87, 123,230.97 and 25,998.09 is: 39,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.87 : 123,230.97 = 25,998.09 : x
  2. Step 2: Convert to fraction form
    82,143.87/123,230.97 = 25,998.09/x
  3. Step 3: Cross multiply
    82,143.87x = 123,230.97 × 25,998.09
  4. Step 4: Simplify right side
    82,143.87x = 3,203,769,848.85
  5. Step 5: Solve for x
    x = 3,203,769,848.85/82,143.87
  6. Step 6: Final answer
    x = 39,001.93

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1.5x scale

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.