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Finding the Fourth Proportional to 149,895.30, 206,855.52 and 82,827.30

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Solution

The fourth proportional to 149,895.30, 206,855.52 and 82,827.30 is: 114,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,895.30 : 206,855.52 = 82,827.30 : x
  2. Step 2: Convert to fraction form
    149,895.30/206,855.52 = 82,827.30/x
  3. Step 3: Cross multiply
    149,895.30x = 206,855.52 × 82,827.30
  4. Step 4: Simplify right side
    149,895.30x = 17,133,284,211.70
  5. Step 5: Solve for x
    x = 17,133,284,211.70/149,895.30
  6. Step 6: Final answer
    x = 114,301.68

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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.