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Finding the Fourth Proportional to 138,745.80, 208,118.70 and 82,612.80

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Solution

The fourth proportional to 138,745.80, 208,118.70 and 82,612.80 is: 123,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.80 : 208,118.70 = 82,612.80 : x
  2. Step 2: Convert to fraction form
    138,745.80/208,118.70 = 82,612.80/x
  3. Step 3: Cross multiply
    138,745.80x = 208,118.70 × 82,612.80
  4. Step 4: Simplify right side
    138,745.80x = 17,193,268,539.36
  5. Step 5: Solve for x
    x = 17,193,268,539.36/138,745.80
  6. Step 6: Final answer
    x = 123,919.20

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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.