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Finding the Fourth Proportional to 123,113.11, 184,669.67 and 29,618.86

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Solution

The fourth proportional to 123,113.11, 184,669.67 and 29,618.86 is: 44,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,113.11 : 184,669.67 = 29,618.86 : x
  2. Step 2: Convert to fraction form
    123,113.11/184,669.67 = 29,618.86/x
  3. Step 3: Cross multiply
    123,113.11x = 184,669.67 × 29,618.86
  4. Step 4: Simplify right side
    123,113.11x = 5,469,704,894.00
  5. Step 5: Solve for x
    x = 5,469,704,894.00/123,113.11
  6. Step 6: Final answer
    x = 44,428.29

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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.