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Finding the Fourth Proportional to 123,078.49, 184,601.32 and 34,324.56

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Solution

The fourth proportional to 123,078.49, 184,601.32 and 34,324.56 is: 51,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078.49 : 184,601.32 = 34,324.56 : x
  2. Step 2: Convert to fraction form
    123,078.49/184,601.32 = 34,324.56/x
  3. Step 3: Cross multiply
    123,078.49x = 184,601.32 × 34,324.56
  4. Step 4: Simplify right side
    123,078.49x = 6,336,358,998.61
  5. Step 5: Solve for x
    x = 6,336,358,998.61/123,078.49
  6. Step 6: Final answer
    x = 51,482.26

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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.