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Finding the Fourth Proportional to 123,156.25, 184,734.42 and 29,662

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Solution

The fourth proportional to 123,156.25, 184,734.42 and 29,662 is: 44,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156.25 : 184,734.42 = 29,662 : x
  2. Step 2: Convert to fraction form
    123,156.25/184,734.42 = 29,662/x
  3. Step 3: Cross multiply
    123,156.25x = 184,734.42 × 29,662
  4. Step 4: Simplify right side
    123,156.25x = 5,479,592,366.04
  5. Step 5: Solve for x
    x = 5,479,592,366.04/123,156.25
  6. Step 6: Final answer
    x = 44,493.01

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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.