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Finding the Fourth Proportional to 223,805.16, 335,809.29 and 204,884.77

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Solution

The fourth proportional to 223,805.16, 335,809.29 and 204,884.77 is: 307,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,805.16 : 335,809.29 = 204,884.77 : x
  2. Step 2: Convert to fraction form
    223,805.16/335,809.29 = 204,884.77/x
  3. Step 3: Cross multiply
    223,805.16x = 335,809.29 × 204,884.77
  4. Step 4: Simplify right side
    223,805.16x = 68,802,208,121.09
  5. Step 5: Solve for x
    x = 68,802,208,121.09/223,805.16
  6. Step 6: Final answer
    x = 307,420.12

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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.