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Finding the Fourth Proportional to 125,896.78, 188,879.77 and 37,150.30

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Solution

The fourth proportional to 125,896.78, 188,879.77 and 37,150.30 is: 55,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,896.78 : 188,879.77 = 37,150.30 : x
  2. Step 2: Convert to fraction form
    125,896.78/188,879.77 = 37,150.30/x
  3. Step 3: Cross multiply
    125,896.78x = 188,879.77 × 37,150.30
  4. Step 4: Simplify right side
    125,896.78x = 7,016,939,444.01
  5. Step 5: Solve for x
    x = 7,016,939,444.01/125,896.78
  6. Step 6: Final answer
    x = 55,735.65

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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.