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Finding the Fourth Proportional to 123,156.75, 184,735.17 and 29,662.50

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Solution

The fourth proportional to 123,156.75, 184,735.17 and 29,662.50 is: 44,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156.75 : 184,735.17 = 29,662.50 : x
  2. Step 2: Convert to fraction form
    123,156.75/184,735.17 = 29,662.50/x
  3. Step 3: Cross multiply
    123,156.75x = 184,735.17 × 29,662.50
  4. Step 4: Simplify right side
    123,156.75x = 5,479,706,980.13
  5. Step 5: Solve for x
    x = 5,479,706,980.13/123,156.75
  6. Step 6: Final answer
    x = 44,493.76

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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.