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Finding the Fourth Proportional to 147,952, 204,174.48 and 80,884

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Solution

The fourth proportional to 147,952, 204,174.48 and 80,884 is: 111,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,952 : 204,174.48 = 80,884 : x
  2. Step 2: Convert to fraction form
    147,952/204,174.48 = 80,884/x
  3. Step 3: Cross multiply
    147,952x = 204,174.48 × 80,884
  4. Step 4: Simplify right side
    147,952x = 16,514,448,640.32
  5. Step 5: Solve for x
    x = 16,514,448,640.32/147,952
  6. Step 6: Final answer
    x = 111,620.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.