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Finding the Fourth Proportional to 259,561.91, 389,037.60 and 117,241.07

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Solution

The fourth proportional to 259,561.91, 389,037.60 and 117,241.07 is: 175,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,561.91 : 389,037.60 = 117,241.07 : x
  2. Step 2: Convert to fraction form
    259,561.91/389,037.60 = 117,241.07/x
  3. Step 3: Cross multiply
    259,561.91x = 389,037.60 × 117,241.07
  4. Step 4: Simplify right side
    259,561.91x = 45,611,182,549.04
  5. Step 5: Solve for x
    x = 45,611,182,549.04/259,561.91
  6. Step 6: Final answer
    x = 175,723.71

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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.