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Finding the Fourth Proportional to 123,619.38, 185,238.24 and 83,481.08

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Solution

The fourth proportional to 123,619.38, 185,238.24 and 83,481.08 is: 125,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,619.38 : 185,238.24 = 83,481.08 : x
  2. Step 2: Convert to fraction form
    123,619.38/185,238.24 = 83,481.08/x
  3. Step 3: Cross multiply
    123,619.38x = 185,238.24 × 83,481.08
  4. Step 4: Simplify right side
    123,619.38x = 15,463,888,332.50
  5. Step 5: Solve for x
    x = 15,463,888,332.50/123,619.38
  6. Step 6: Final answer
    x = 125,092.75

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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.