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Finding the Fourth Proportional to 376,198.54, 564,295.86 and 133,219.86

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Solution

The fourth proportional to 376,198.54, 564,295.86 and 133,219.86 is: 199,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,198.54 : 564,295.86 = 133,219.86 : x
  2. Step 2: Convert to fraction form
    376,198.54/564,295.86 = 133,219.86/x
  3. Step 3: Cross multiply
    376,198.54x = 564,295.86 × 133,219.86
  4. Step 4: Simplify right side
    376,198.54x = 75,175,415,467.78
  5. Step 5: Solve for x
    x = 75,175,415,467.78/376,198.54
  6. Step 6: Final answer
    x = 199,829.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.