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Finding the Fourth Proportional to 102,069, 140,855.94 and 57,357

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Solution

The fourth proportional to 102,069, 140,855.94 and 57,357 is: 79,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069 : 140,855.94 = 57,357 : x
  2. Step 2: Convert to fraction form
    102,069/140,855.94 = 57,357/x
  3. Step 3: Cross multiply
    102,069x = 140,855.94 × 57,357
  4. Step 4: Simplify right side
    102,069x = 8,079,074,150.58
  5. Step 5: Solve for x
    x = 8,079,074,150.58/102,069
  6. Step 6: Final answer
    x = 79,153.06

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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.