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Finding the Fourth Proportional to 123,219.87, 184,829.82 and 48,375.30

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Solution

The fourth proportional to 123,219.87, 184,829.82 and 48,375.30 is: 72,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.87 : 184,829.82 = 48,375.30 : x
  2. Step 2: Convert to fraction form
    123,219.87/184,829.82 = 48,375.30/x
  3. Step 3: Cross multiply
    123,219.87x = 184,829.82 × 48,375.30
  4. Step 4: Simplify right side
    123,219.87x = 8,941,197,991.45
  5. Step 5: Solve for x
    x = 8,941,197,991.45/123,219.87
  6. Step 6: Final answer
    x = 72,562.96

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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.