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Finding the Fourth Proportional to 223,810.09, 335,715.17 and 214,091.64

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Solution

The fourth proportional to 223,810.09, 335,715.17 and 214,091.64 is: 321,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,810.09 : 335,715.17 = 214,091.64 : x
  2. Step 2: Convert to fraction form
    223,810.09/335,715.17 = 214,091.64/x
  3. Step 3: Cross multiply
    223,810.09x = 335,715.17 × 214,091.64
  4. Step 4: Simplify right side
    223,810.09x = 71,873,810,247.72
  5. Step 5: Solve for x
    x = 71,873,810,247.72/223,810.09
  6. Step 6: Final answer
    x = 321,137.49

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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.