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Finding the Fourth Proportional to 214,037.30, 320,441.55 and 207,893.30

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Solution

The fourth proportional to 214,037.30, 320,441.55 and 207,893.30 is: 311,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,037.30 : 320,441.55 = 207,893.30 : x
  2. Step 2: Convert to fraction form
    214,037.30/320,441.55 = 207,893.30/x
  3. Step 3: Cross multiply
    214,037.30x = 320,441.55 × 207,893.30
  4. Step 4: Simplify right side
    214,037.30x = 66,617,651,286.62
  5. Step 5: Solve for x
    x = 66,617,651,286.62/214,037.30
  6. Step 6: Final answer
    x = 311,243.19

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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.