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Finding the Fourth Proportional to 123,078.54, 184,619.28 and 34,326.65

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Solution

The fourth proportional to 123,078.54, 184,619.28 and 34,326.65 is: 51,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078.54 : 184,619.28 = 34,326.65 : x
  2. Step 2: Convert to fraction form
    123,078.54/184,619.28 = 34,326.65/x
  3. Step 3: Cross multiply
    123,078.54x = 184,619.28 × 34,326.65
  4. Step 4: Simplify right side
    123,078.54x = 6,337,360,484.72
  5. Step 5: Solve for x
    x = 6,337,360,484.72/123,078.54
  6. Step 6: Final answer
    x = 51,490.38

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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.