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Finding the Fourth Proportional to 214,091.80, 320,523.30 and 207,947.80

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Solution

The fourth proportional to 214,091.80, 320,523.30 and 207,947.80 is: 311,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,091.80 : 320,523.30 = 207,947.80 : x
  2. Step 2: Convert to fraction form
    214,091.80/320,523.30 = 207,947.80/x
  3. Step 3: Cross multiply
    214,091.80x = 320,523.30 × 207,947.80
  4. Step 4: Simplify right side
    214,091.80x = 66,652,115,083.74
  5. Step 5: Solve for x
    x = 66,652,115,083.74/214,091.80
  6. Step 6: Final answer
    x = 311,324.93

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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.