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Finding the Fourth Proportional to 137,936.40, 206,904.60 and 81,949.20

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Solution

The fourth proportional to 137,936.40, 206,904.60 and 81,949.20 is: 122,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,936.40 : 206,904.60 = 81,949.20 : x
  2. Step 2: Convert to fraction form
    137,936.40/206,904.60 = 81,949.20/x
  3. Step 3: Cross multiply
    137,936.40x = 206,904.60 × 81,949.20
  4. Step 4: Simplify right side
    137,936.40x = 16,955,666,446.32
  5. Step 5: Solve for x
    x = 16,955,666,446.32/137,936.40
  6. Step 6: Final answer
    x = 122,923.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.