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Finding the Fourth Proportional to 102,165.79, 140,986.57 and 59,147.10

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Solution

The fourth proportional to 102,165.79, 140,986.57 and 59,147.10 is: 81,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.79 : 140,986.57 = 59,147.10 : x
  2. Step 2: Convert to fraction form
    102,165.79/140,986.57 = 59,147.10/x
  3. Step 3: Cross multiply
    102,165.79x = 140,986.57 × 59,147.10
  4. Step 4: Simplify right side
    102,165.79x = 8,338,946,049.51
  5. Step 5: Solve for x
    x = 8,338,946,049.51/102,165.79
  6. Step 6: Final answer
    x = 81,621.71

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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.