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Finding the Fourth Proportional to 330,676.56, 496,095.84 and 106,037.64

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Solution

The fourth proportional to 330,676.56, 496,095.84 and 106,037.64 is: 159,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,676.56 : 496,095.84 = 106,037.64 : x
  2. Step 2: Convert to fraction form
    330,676.56/496,095.84 = 106,037.64/x
  3. Step 3: Cross multiply
    330,676.56x = 496,095.84 × 106,037.64
  4. Step 4: Simplify right side
    330,676.56x = 52,604,832,087.42
  5. Step 5: Solve for x
    x = 52,604,832,087.42/330,676.56
  6. Step 6: Final answer
    x = 159,082.43

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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.