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Finding the Fourth Proportional to 129,857.80, 194,786.70 and 123,734.20

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Solution

The fourth proportional to 129,857.80, 194,786.70 and 123,734.20 is: 185,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857.80 : 194,786.70 = 123,734.20 : x
  2. Step 2: Convert to fraction form
    129,857.80/194,786.70 = 123,734.20/x
  3. Step 3: Cross multiply
    129,857.80x = 194,786.70 × 123,734.20
  4. Step 4: Simplify right side
    129,857.80x = 24,101,776,495.14
  5. Step 5: Solve for x
    x = 24,101,776,495.14/129,857.80
  6. Step 6: Final answer
    x = 185,601.30

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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.