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Finding the Fourth Proportional to 259,193.02, 357,732.14 and 205,884.88

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Solution

The fourth proportional to 259,193.02, 357,732.14 and 205,884.88 is: 284,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,193.02 : 357,732.14 = 205,884.88 : x
  2. Step 2: Convert to fraction form
    259,193.02/357,732.14 = 205,884.88/x
  3. Step 3: Cross multiply
    259,193.02x = 357,732.14 × 205,884.88
  4. Step 4: Simplify right side
    259,193.02x = 73,651,638,716.04
  5. Step 5: Solve for x
    x = 73,651,638,716.04/259,193.02
  6. Step 6: Final answer
    x = 284,157.49

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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.