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Finding the Fourth Proportional to 82,768.50, 123,857.37 and 71,713.08

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Solution

The fourth proportional to 82,768.50, 123,857.37 and 71,713.08 is: 107,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.50 : 123,857.37 = 71,713.08 : x
  2. Step 2: Convert to fraction form
    82,768.50/123,857.37 = 71,713.08/x
  3. Step 3: Cross multiply
    82,768.50x = 123,857.37 × 71,713.08
  4. Step 4: Simplify right side
    82,768.50x = 8,882,193,483.40
  5. Step 5: Solve for x
    x = 8,882,193,483.40/82,768.50
  6. Step 6: Final answer
    x = 107,313.69

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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.