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Finding the Fourth Proportional to 259,684.32, 389,687.76 and 166,257.12

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Solution

The fourth proportional to 259,684.32, 389,687.76 and 166,257.12 is: 249,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,684.32 : 389,687.76 = 166,257.12 : x
  2. Step 2: Convert to fraction form
    259,684.32/389,687.76 = 166,257.12/x
  3. Step 3: Cross multiply
    259,684.32x = 389,687.76 × 166,257.12
  4. Step 4: Simplify right side
    259,684.32x = 64,788,364,676.85
  5. Step 5: Solve for x
    x = 64,788,364,676.85/259,684.32
  6. Step 6: Final answer
    x = 249,488.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.