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Finding the Fourth Proportional to 123,298.86, 184,944.87 and 33,350.30

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Solution

The fourth proportional to 123,298.86, 184,944.87 and 33,350.30 is: 50,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,298.86 : 184,944.87 = 33,350.30 : x
  2. Step 2: Convert to fraction form
    123,298.86/184,944.87 = 33,350.30/x
  3. Step 3: Cross multiply
    123,298.86x = 184,944.87 × 33,350.30
  4. Step 4: Simplify right side
    123,298.86x = 6,167,965,973.24
  5. Step 5: Solve for x
    x = 6,167,965,973.24/123,298.86
  6. Step 6: Final answer
    x = 50,024.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.