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Finding the Fourth Proportional to 143,314.70, 214,972.05 and 80,329.10

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Solution

The fourth proportional to 143,314.70, 214,972.05 and 80,329.10 is: 120,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,314.70 : 214,972.05 = 80,329.10 : x
  2. Step 2: Convert to fraction form
    143,314.70/214,972.05 = 80,329.10/x
  3. Step 3: Cross multiply
    143,314.70x = 214,972.05 × 80,329.10
  4. Step 4: Simplify right side
    143,314.70x = 17,268,511,301.66
  5. Step 5: Solve for x
    x = 17,268,511,301.66/143,314.70
  6. Step 6: Final answer
    x = 120,493.65

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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.