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Finding the Fourth Proportional to 188,884.92, 283,358.12 and 55,778.64

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Solution

The fourth proportional to 188,884.92, 283,358.12 and 55,778.64 is: 83,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,884.92 : 283,358.12 = 55,778.64 : x
  2. Step 2: Convert to fraction form
    188,884.92/283,358.12 = 55,778.64/x
  3. Step 3: Cross multiply
    188,884.92x = 283,358.12 × 55,778.64
  4. Step 4: Simplify right side
    188,884.92x = 15,805,330,566.56
  5. Step 5: Solve for x
    x = 15,805,330,566.56/188,884.92
  6. Step 6: Final answer
    x = 83,677.04

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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.