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Finding the Fourth Proportional to 129,809.10, 194,739.98 and 73,676.10

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Solution

The fourth proportional to 129,809.10, 194,739.98 and 73,676.10 is: 110,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.10 : 194,739.98 = 73,676.10 : x
  2. Step 2: Convert to fraction form
    129,809.10/194,739.98 = 73,676.10/x
  3. Step 3: Cross multiply
    129,809.10x = 194,739.98 × 73,676.10
  4. Step 4: Simplify right side
    129,809.10x = 14,347,681,872.10
  5. Step 5: Solve for x
    x = 14,347,681,872.10/129,809.10
  6. Step 6: Final answer
    x = 110,529.09

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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.