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Finding the Fourth Proportional to 141,776.67, 195,651.72 and 85,206.27

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Solution

The fourth proportional to 141,776.67, 195,651.72 and 85,206.27 is: 117,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,776.67 : 195,651.72 = 85,206.27 : x
  2. Step 2: Convert to fraction form
    141,776.67/195,651.72 = 85,206.27/x
  3. Step 3: Cross multiply
    141,776.67x = 195,651.72 × 85,206.27
  4. Step 4: Simplify right side
    141,776.67x = 16,670,753,280.28
  5. Step 5: Solve for x
    x = 16,670,753,280.28/141,776.67
  6. Step 6: Final answer
    x = 117,584.60

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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.