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Finding the Fourth Proportional to 123,083.20, 184,622.10 and 34,334.20

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Solution

The fourth proportional to 123,083.20, 184,622.10 and 34,334.20 is: 51,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,083.20 : 184,622.10 = 34,334.20 : x
  2. Step 2: Convert to fraction form
    123,083.20/184,622.10 = 34,334.20/x
  3. Step 3: Cross multiply
    123,083.20x = 184,622.10 × 34,334.20
  4. Step 4: Simplify right side
    123,083.20x = 6,338,852,105.82
  5. Step 5: Solve for x
    x = 6,338,852,105.82/123,083.20
  6. Step 6: Final answer
    x = 51,500.55

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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.