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Finding the Fourth Proportional to 123,778.80, 185,729.61 and 48,952.62

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Solution

The fourth proportional to 123,778.80, 185,729.61 and 48,952.62 is: 73,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,778.80 : 185,729.61 = 48,952.62 : x
  2. Step 2: Convert to fraction form
    123,778.80/185,729.61 = 48,952.62/x
  3. Step 3: Cross multiply
    123,778.80x = 185,729.61 × 48,952.62
  4. Step 4: Simplify right side
    123,778.80x = 9,091,951,021.08
  5. Step 5: Solve for x
    x = 9,091,951,021.08/123,778.80
  6. Step 6: Final answer
    x = 73,453.22

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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.