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Finding the Fourth Proportional to 123,811.26, 185,694.94 and 56,327.62

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Solution

The fourth proportional to 123,811.26, 185,694.94 and 56,327.62 is: 84,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,811.26 : 185,694.94 = 56,327.62 : x
  2. Step 2: Convert to fraction form
    123,811.26/185,694.94 = 56,327.62/x
  3. Step 3: Cross multiply
    123,811.26x = 185,694.94 × 56,327.62
  4. Step 4: Simplify right side
    123,811.26x = 10,459,754,016.24
  5. Step 5: Solve for x
    x = 10,459,754,016.24/123,811.26
  6. Step 6: Final answer
    x = 84,481.44

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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.