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Finding the Fourth Proportional to 96,453.63, 133,140.92 and 78,517.50

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Solution

The fourth proportional to 96,453.63, 133,140.92 and 78,517.50 is: 108,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,453.63 : 133,140.92 = 78,517.50 : x
  2. Step 2: Convert to fraction form
    96,453.63/133,140.92 = 78,517.50/x
  3. Step 3: Cross multiply
    96,453.63x = 133,140.92 × 78,517.50
  4. Step 4: Simplify right side
    96,453.63x = 10,453,891,294.23
  5. Step 5: Solve for x
    x = 10,453,891,294.23/96,453.63
  6. Step 6: Final answer
    x = 108,382.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.