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Finding the Fourth Proportional to 102,517.47, 141,474.32 and 57,194.32

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Solution

The fourth proportional to 102,517.47, 141,474.32 and 57,194.32 is: 78,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.47 : 141,474.32 = 57,194.32 : x
  2. Step 2: Convert to fraction form
    102,517.47/141,474.32 = 57,194.32/x
  3. Step 3: Cross multiply
    102,517.47x = 141,474.32 × 57,194.32
  4. Step 4: Simplify right side
    102,517.47x = 8,091,527,529.86
  5. Step 5: Solve for x
    x = 8,091,527,529.86/102,517.47
  6. Step 6: Final answer
    x = 78,928.28

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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.