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Finding the Fourth Proportional to 103,638.65, 155,198.77 and 82,902.65

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Solution

The fourth proportional to 103,638.65, 155,198.77 and 82,902.65 is: 124,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.65 : 155,198.77 = 82,902.65 : x
  2. Step 2: Convert to fraction form
    103,638.65/155,198.77 = 82,902.65/x
  3. Step 3: Cross multiply
    103,638.65x = 155,198.77 × 82,902.65
  4. Step 4: Simplify right side
    103,638.65x = 12,866,389,309.74
  5. Step 5: Solve for x
    x = 12,866,389,309.74/103,638.65
  6. Step 6: Final answer
    x = 124,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.