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Finding the Fourth Proportional to 123,471.70, 185,206.14 and 29,977.42

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Solution

The fourth proportional to 123,471.70, 185,206.14 and 29,977.42 is: 44,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471.70 : 185,206.14 = 29,977.42 : x
  2. Step 2: Convert to fraction form
    123,471.70/185,206.14 = 29,977.42/x
  3. Step 3: Cross multiply
    123,471.70x = 185,206.14 × 29,977.42
  4. Step 4: Simplify right side
    123,471.70x = 5,552,002,245.36
  5. Step 5: Solve for x
    x = 5,552,002,245.36/123,471.70
  6. Step 6: Final answer
    x = 44,965.79

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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.