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Finding the Fourth Proportional to 78,205.39, 117,309.23 and 54,165.98

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Solution

The fourth proportional to 78,205.39, 117,309.23 and 54,165.98 is: 81,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.39 : 117,309.23 = 54,165.98 : x
  2. Step 2: Convert to fraction form
    78,205.39/117,309.23 = 54,165.98/x
  3. Step 3: Cross multiply
    78,205.39x = 117,309.23 × 54,165.98
  4. Step 4: Simplify right side
    78,205.39x = 6,354,169,428.44
  5. Step 5: Solve for x
    x = 6,354,169,428.44/78,205.39
  6. Step 6: Final answer
    x = 81,249.77

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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.