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Finding the Fourth Proportional to 142,596.43, 196,769.41 and 85,224.32

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Solution

The fourth proportional to 142,596.43, 196,769.41 and 85,224.32 is: 117,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596.43 : 196,769.41 = 85,224.32 : x
  2. Step 2: Convert to fraction form
    142,596.43/196,769.41 = 85,224.32/x
  3. Step 3: Cross multiply
    142,596.43x = 196,769.41 × 85,224.32
  4. Step 4: Simplify right side
    142,596.43x = 16,769,539,811.86
  5. Step 5: Solve for x
    x = 16,769,539,811.86/142,596.43
  6. Step 6: Final answer
    x = 117,601.40

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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.