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Finding the Fourth Proportional to 149,955.46, 206,938.07 and 81,972.46

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Solution

The fourth proportional to 149,955.46, 206,938.07 and 81,972.46 is: 113,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,955.46 : 206,938.07 = 81,972.46 : x
  2. Step 2: Convert to fraction form
    149,955.46/206,938.07 = 81,972.46/x
  3. Step 3: Cross multiply
    149,955.46x = 206,938.07 × 81,972.46
  4. Step 4: Simplify right side
    149,955.46x = 16,963,221,427.19
  5. Step 5: Solve for x
    x = 16,963,221,427.19/149,955.46
  6. Step 6: Final answer
    x = 113,121.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.