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Finding the Fourth Proportional to 96,232.08, 144,306 and 51,243.96

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Solution

The fourth proportional to 96,232.08, 144,306 and 51,243.96 is: 76,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232.08 : 144,306 = 51,243.96 : x
  2. Step 2: Convert to fraction form
    96,232.08/144,306 = 51,243.96/x
  3. Step 3: Cross multiply
    96,232.08x = 144,306 × 51,243.96
  4. Step 4: Simplify right side
    96,232.08x = 7,394,810,891.76
  5. Step 5: Solve for x
    x = 7,394,810,891.76/96,232.08
  6. Step 6: Final answer
    x = 76,843.51

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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.