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Finding the Fourth Proportional to 84,142.89, 116,112.83 and 52,311.24

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Solution

The fourth proportional to 84,142.89, 116,112.83 and 52,311.24 is: 72,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.89 : 116,112.83 = 52,311.24 : x
  2. Step 2: Convert to fraction form
    84,142.89/116,112.83 = 52,311.24/x
  3. Step 3: Cross multiply
    84,142.89x = 116,112.83 × 52,311.24
  4. Step 4: Simplify right side
    84,142.89x = 6,074,005,855.65
  5. Step 5: Solve for x
    x = 6,074,005,855.65/84,142.89
  6. Step 6: Final answer
    x = 72,186.80

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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.