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Finding the Fourth Proportional to 170,385, 255,610.31 and 76,890.75

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Solution

The fourth proportional to 170,385, 255,610.31 and 76,890.75 is: 115,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,385 : 255,610.31 = 76,890.75 : x
  2. Step 2: Convert to fraction form
    170,385/255,610.31 = 76,890.75/x
  3. Step 3: Cross multiply
    170,385x = 255,610.31 × 76,890.75
  4. Step 4: Simplify right side
    170,385x = 19,654,068,059.18
  5. Step 5: Solve for x
    x = 19,654,068,059.18/170,385
  6. Step 6: Final answer
    x = 115,350.93

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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.