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Finding the Fourth Proportional to 137,268.60, 205,902.90 and 81,972.60

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Solution

The fourth proportional to 137,268.60, 205,902.90 and 81,972.60 is: 122,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,268.60 : 205,902.90 = 81,972.60 : x
  2. Step 2: Convert to fraction form
    137,268.60/205,902.90 = 81,972.60/x
  3. Step 3: Cross multiply
    137,268.60x = 205,902.90 × 81,972.60
  4. Step 4: Simplify right side
    137,268.60x = 16,878,396,060.54
  5. Step 5: Solve for x
    x = 16,878,396,060.54/137,268.60
  6. Step 6: Final answer
    x = 122,958.90

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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.