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Finding the Fourth Proportional to 228,138.24, 341,922.24 and 109,777.80

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Solution

The fourth proportional to 228,138.24, 341,922.24 and 109,777.80 is: 164,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,138.24 : 341,922.24 = 109,777.80 : x
  2. Step 2: Convert to fraction form
    228,138.24/341,922.24 = 109,777.80/x
  3. Step 3: Cross multiply
    228,138.24x = 341,922.24 × 109,777.80
  4. Step 4: Simplify right side
    228,138.24x = 37,535,471,278.27
  5. Step 5: Solve for x
    x = 37,535,471,278.27/228,138.24
  6. Step 6: Final answer
    x = 164,529.50

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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.