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Finding the Fourth Proportional to 102,201.85, 141,198.52 and 78,087.21

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Solution

The fourth proportional to 102,201.85, 141,198.52 and 78,087.21 is: 107,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.85 : 141,198.52 = 78,087.21 : x
  2. Step 2: Convert to fraction form
    102,201.85/141,198.52 = 78,087.21/x
  3. Step 3: Cross multiply
    102,201.85x = 141,198.52 × 78,087.21
  4. Step 4: Simplify right side
    102,201.85x = 11,025,798,580.54
  5. Step 5: Solve for x
    x = 11,025,798,580.54/102,201.85
  6. Step 6: Final answer
    x = 107,882.58

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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.