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Finding the Fourth Proportional to 214,562.67, 295,418.77 and 188,974.77

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Solution

The fourth proportional to 214,562.67, 295,418.77 and 188,974.77 is: 260,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,562.67 : 295,418.77 = 188,974.77 : x
  2. Step 2: Convert to fraction form
    214,562.67/295,418.77 = 188,974.77/x
  3. Step 3: Cross multiply
    214,562.67x = 295,418.77 × 188,974.77
  4. Step 4: Simplify right side
    214,562.67x = 55,826,694,114.43
  5. Step 5: Solve for x
    x = 55,826,694,114.43/214,562.67
  6. Step 6: Final answer
    x = 260,188.29

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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.