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Finding the Fourth Proportional to 149,620.50, 206,476.29 and 82,552.50

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Solution

The fourth proportional to 149,620.50, 206,476.29 and 82,552.50 is: 113,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,620.50 : 206,476.29 = 82,552.50 : x
  2. Step 2: Convert to fraction form
    149,620.50/206,476.29 = 82,552.50/x
  3. Step 3: Cross multiply
    149,620.50x = 206,476.29 × 82,552.50
  4. Step 4: Simplify right side
    149,620.50x = 17,045,133,930.23
  5. Step 5: Solve for x
    x = 17,045,133,930.23/149,620.50
  6. Step 6: Final answer
    x = 113,922.45

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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.