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Finding the Fourth Proportional to 330,846.72, 496,223.12 and 106,178.04

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Solution

The fourth proportional to 330,846.72, 496,223.12 and 106,178.04 is: 159,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,846.72 : 496,223.12 = 106,178.04 : x
  2. Step 2: Convert to fraction form
    330,846.72/496,223.12 = 106,178.04/x
  3. Step 3: Cross multiply
    330,846.72x = 496,223.12 × 106,178.04
  4. Step 4: Simplify right side
    330,846.72x = 52,687,998,284.28
  5. Step 5: Solve for x
    x = 52,687,998,284.28/330,846.72
  6. Step 6: Final answer
    x = 159,251.99

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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.