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Finding the Fourth Proportional to 146,139.75, 201,672.99 and 82,476.18

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Solution

The fourth proportional to 146,139.75, 201,672.99 and 82,476.18 is: 113,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139.75 : 201,672.99 = 82,476.18 : x
  2. Step 2: Convert to fraction form
    146,139.75/201,672.99 = 82,476.18/x
  3. Step 3: Cross multiply
    146,139.75x = 201,672.99 × 82,476.18
  4. Step 4: Simplify right side
    146,139.75x = 16,633,217,824.38
  5. Step 5: Solve for x
    x = 16,633,217,824.38/146,139.75
  6. Step 6: Final answer
    x = 113,817.20

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Why These Related Problems?

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