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Finding the Fourth Proportional to 114,676.20, 172,014.30 and 85,151.70

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Solution

The fourth proportional to 114,676.20, 172,014.30 and 85,151.70 is: 127,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,676.20 : 172,014.30 = 85,151.70 : x
  2. Step 2: Convert to fraction form
    114,676.20/172,014.30 = 85,151.70/x
  3. Step 3: Cross multiply
    114,676.20x = 172,014.30 × 85,151.70
  4. Step 4: Simplify right side
    114,676.20x = 14,647,310,069.31
  5. Step 5: Solve for x
    x = 14,647,310,069.31/114,676.20
  6. Step 6: Final answer
    x = 127,727.55

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