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Finding the Fourth Proportional to 188,101.26, 282,122.73 and 54,945.78

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Solution

The fourth proportional to 188,101.26, 282,122.73 and 54,945.78 is: 82,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,101.26 : 282,122.73 = 54,945.78 : x
  2. Step 2: Convert to fraction form
    188,101.26/282,122.73 = 54,945.78/x
  3. Step 3: Cross multiply
    188,101.26x = 282,122.73 × 54,945.78
  4. Step 4: Simplify right side
    188,101.26x = 15,501,453,455.58
  5. Step 5: Solve for x
    x = 15,501,453,455.58/188,101.26
  6. Step 6: Final answer
    x = 82,410.15

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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.