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Finding the Fourth Proportional to 78,194.44, 117,313.50 and 25,640.92

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Solution

The fourth proportional to 78,194.44, 117,313.50 and 25,640.92 is: 38,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194.44 : 117,313.50 = 25,640.92 : x
  2. Step 2: Convert to fraction form
    78,194.44/117,313.50 = 25,640.92/x
  3. Step 3: Cross multiply
    78,194.44x = 117,313.50 × 25,640.92
  4. Step 4: Simplify right side
    78,194.44x = 3,008,026,068.42
  5. Step 5: Solve for x
    x = 3,008,026,068.42/78,194.44
  6. Step 6: Final answer
    x = 38,468.54

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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.