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Finding the Fourth Proportional to 123,690.34, 185,553.74 and 44,786.12

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Solution

The fourth proportional to 123,690.34, 185,553.74 and 44,786.12 is: 67,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,690.34 : 185,553.74 = 44,786.12 : x
  2. Step 2: Convert to fraction form
    123,690.34/185,553.74 = 44,786.12/x
  3. Step 3: Cross multiply
    123,690.34x = 185,553.74 × 44,786.12
  4. Step 4: Simplify right side
    123,690.34x = 8,310,230,998.36
  5. Step 5: Solve for x
    x = 8,310,230,998.36/123,690.34
  6. Step 6: Final answer
    x = 67,185.77

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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.