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Finding the Fourth Proportional to 103,635.90, 155,194.65 and 82,899.90

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Solution

The fourth proportional to 103,635.90, 155,194.65 and 82,899.90 is: 124,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635.90 : 155,194.65 = 82,899.90 : x
  2. Step 2: Convert to fraction form
    103,635.90/155,194.65 = 82,899.90/x
  3. Step 3: Cross multiply
    103,635.90x = 155,194.65 × 82,899.90
  4. Step 4: Simplify right side
    103,635.90x = 12,865,620,965.54
  5. Step 5: Solve for x
    x = 12,865,620,965.54/103,635.90
  6. Step 6: Final answer
    x = 124,142.51

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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.