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Finding the Fourth Proportional to 146,179.98, 201,724.29 and 82,523.70

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Solution

The fourth proportional to 146,179.98, 201,724.29 and 82,523.70 is: 113,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,179.98 : 201,724.29 = 82,523.70 : x
  2. Step 2: Convert to fraction form
    146,179.98/201,724.29 = 82,523.70/x
  3. Step 3: Cross multiply
    146,179.98x = 201,724.29 × 82,523.70
  4. Step 4: Simplify right side
    146,179.98x = 16,647,034,790.67
  5. Step 5: Solve for x
    x = 16,647,034,790.67/146,179.98
  6. Step 6: Final answer
    x = 113,880.40

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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.