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Finding the Fourth Proportional to 228,832.38, 315,787.82 and 128,230.38

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Solution

The fourth proportional to 228,832.38, 315,787.82 and 128,230.38 is: 176,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,832.38 : 315,787.82 = 128,230.38 : x
  2. Step 2: Convert to fraction form
    228,832.38/315,787.82 = 128,230.38/x
  3. Step 3: Cross multiply
    228,832.38x = 315,787.82 × 128,230.38
  4. Step 4: Simplify right side
    228,832.38x = 40,493,591,516.82
  5. Step 5: Solve for x
    x = 40,493,591,516.82/228,832.38
  6. Step 6: Final answer
    x = 176,957.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.