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Finding the Fourth Proportional to 82,496.80, 123,745.20 and 82,496.80

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Solution

The fourth proportional to 82,496.80, 123,745.20 and 82,496.80 is: 123,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496.80 : 123,745.20 = 82,496.80 : x
  2. Step 2: Convert to fraction form
    82,496.80/123,745.20 = 82,496.80/x
  3. Step 3: Cross multiply
    82,496.80x = 123,745.20 × 82,496.80
  4. Step 4: Simplify right side
    82,496.80x = 10,208,583,015.36
  5. Step 5: Solve for x
    x = 10,208,583,015.36/82,496.80
  6. Step 6: Final answer
    x = 123,745.20

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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.