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Finding the Fourth Proportional to 188,714.82, 283,074.66 and 55,564.80

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Solution

The fourth proportional to 188,714.82, 283,074.66 and 55,564.80 is: 83,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.82 : 283,074.66 = 55,564.80 : x
  2. Step 2: Convert to fraction form
    188,714.82/283,074.66 = 55,564.80/x
  3. Step 3: Cross multiply
    188,714.82x = 283,074.66 × 55,564.80
  4. Step 4: Simplify right side
    188,714.82x = 15,728,986,867.97
  5. Step 5: Solve for x
    x = 15,728,986,867.97/188,714.82
  6. Step 6: Final answer
    x = 83,347.92

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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.