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Finding the Fourth Proportional to 149,522.49, 206,340.35 and 82,454.49

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Solution

The fourth proportional to 149,522.49, 206,340.35 and 82,454.49 is: 113,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,522.49 : 206,340.35 = 82,454.49 : x
  2. Step 2: Convert to fraction form
    149,522.49/206,340.35 = 82,454.49/x
  3. Step 3: Cross multiply
    149,522.49x = 206,340.35 × 82,454.49
  4. Step 4: Simplify right side
    149,522.49x = 17,013,687,913.40
  5. Step 5: Solve for x
    x = 17,013,687,913.40/149,522.49
  6. Step 6: Final answer
    x = 113,786.82

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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.