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Finding the Fourth Proportional to 85,152.57, 127,728.76 and 40,163.43

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Solution

The fourth proportional to 85,152.57, 127,728.76 and 40,163.43 is: 60,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,152.57 : 127,728.76 = 40,163.43 : x
  2. Step 2: Convert to fraction form
    85,152.57/127,728.76 = 40,163.43/x
  3. Step 3: Cross multiply
    85,152.57x = 127,728.76 × 40,163.43
  4. Step 4: Simplify right side
    85,152.57x = 5,130,025,111.25
  5. Step 5: Solve for x
    x = 5,130,025,111.25/85,152.57
  6. Step 6: Final answer
    x = 60,245.10

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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.