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Finding the Fourth Proportional to 188,923.27, 283,422.28 and 53,988.55

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Solution

The fourth proportional to 188,923.27, 283,422.28 and 53,988.55 is: 80,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,923.27 : 283,422.28 = 53,988.55 : x
  2. Step 2: Convert to fraction form
    188,923.27/283,422.28 = 53,988.55/x
  3. Step 3: Cross multiply
    188,923.27x = 283,422.28 × 53,988.55
  4. Step 4: Simplify right side
    188,923.27x = 15,301,557,091.37
  5. Step 5: Solve for x
    x = 15,301,557,091.37/188,923.27
  6. Step 6: Final answer
    x = 80,993.50

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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.