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Finding the Fourth Proportional to 123,767.80, 185,651.70 and 40,661.80

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Solution

The fourth proportional to 123,767.80, 185,651.70 and 40,661.80 is: 60,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.80 : 185,651.70 = 40,661.80 : x
  2. Step 2: Convert to fraction form
    123,767.80/185,651.70 = 40,661.80/x
  3. Step 3: Cross multiply
    123,767.80x = 185,651.70 × 40,661.80
  4. Step 4: Simplify right side
    123,767.80x = 7,548,932,295.06
  5. Step 5: Solve for x
    x = 7,548,932,295.06/123,767.80
  6. Step 6: Final answer
    x = 60,992.70

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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.