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Finding the Fourth Proportional to 376,199.54, 564,297.36 and 133,220.86

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Solution

The fourth proportional to 376,199.54, 564,297.36 and 133,220.86 is: 199,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,199.54 : 564,297.36 = 133,220.86 : x
  2. Step 2: Convert to fraction form
    376,199.54/564,297.36 = 133,220.86/x
  3. Step 3: Cross multiply
    376,199.54x = 564,297.36 × 133,220.86
  4. Step 4: Simplify right side
    376,199.54x = 75,176,179,594.93
  5. Step 5: Solve for x
    x = 75,176,179,594.93/376,199.54
  6. Step 6: Final answer
    x = 199,830.60

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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.