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Finding the Fourth Proportional to 123,037.82, 184,581.40 and 44,158.22

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Solution

The fourth proportional to 123,037.82, 184,581.40 and 44,158.22 is: 66,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037.82 : 184,581.40 = 44,158.22 : x
  2. Step 2: Convert to fraction form
    123,037.82/184,581.40 = 44,158.22/x
  3. Step 3: Cross multiply
    123,037.82x = 184,581.40 × 44,158.22
  4. Step 4: Simplify right side
    123,037.82x = 8,150,786,069.11
  5. Step 5: Solve for x
    x = 8,150,786,069.11/123,037.82
  6. Step 6: Final answer
    x = 66,246.18

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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.