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Finding the Fourth Proportional to 123,081.54, 184,623.78 and 34,329.65

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Solution

The fourth proportional to 123,081.54, 184,623.78 and 34,329.65 is: 51,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,081.54 : 184,623.78 = 34,329.65 : x
  2. Step 2: Convert to fraction form
    123,081.54/184,623.78 = 34,329.65/x
  3. Step 3: Cross multiply
    123,081.54x = 184,623.78 × 34,329.65
  4. Step 4: Simplify right side
    123,081.54x = 6,338,068,825.96
  5. Step 5: Solve for x
    x = 6,338,068,825.96/123,081.54
  6. Step 6: Final answer
    x = 51,494.88

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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.