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Finding the Fourth Proportional to 78,382, 108,198.16 and 54,522.52

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Solution

The fourth proportional to 78,382, 108,198.16 and 54,522.52 is: 75,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382 : 108,198.16 = 54,522.52 : x
  2. Step 2: Convert to fraction form
    78,382/108,198.16 = 54,522.52/x
  3. Step 3: Cross multiply
    78,382x = 108,198.16 × 54,522.52
  4. Step 4: Simplify right side
    78,382x = 5,899,236,342.56
  5. Step 5: Solve for x
    x = 5,899,236,342.56/78,382
  6. Step 6: Final answer
    x = 75,262.64

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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.