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Finding the Fourth Proportional to 376,049.70, 564,014.02 and 109,747.80

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Solution

The fourth proportional to 376,049.70, 564,014.02 and 109,747.80 is: 164,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,049.70 : 564,014.02 = 109,747.80 : x
  2. Step 2: Convert to fraction form
    376,049.70/564,014.02 = 109,747.80/x
  3. Step 3: Cross multiply
    376,049.70x = 564,014.02 × 109,747.80
  4. Step 4: Simplify right side
    376,049.70x = 61,899,297,864.16
  5. Step 5: Solve for x
    x = 61,899,297,864.16/376,049.70
  6. Step 6: Final answer
    x = 164,604.03

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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.