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Finding the Fourth Proportional to 188,103.97, 282,150.48 and 54,987.35

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Solution

The fourth proportional to 188,103.97, 282,150.48 and 54,987.35 is: 82,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,103.97 : 282,150.48 = 54,987.35 : x
  2. Step 2: Convert to fraction form
    188,103.97/282,150.48 = 54,987.35/x
  3. Step 3: Cross multiply
    188,103.97x = 282,150.48 × 54,987.35
  4. Step 4: Simplify right side
    188,103.97x = 15,514,707,196.43
  5. Step 5: Solve for x
    x = 15,514,707,196.43/188,103.97
  6. Step 6: Final answer
    x = 82,479.43

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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.