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Finding the Fourth Proportional to 188,833.28, 283,152.30 and 55,696.54

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Solution

The fourth proportional to 188,833.28, 283,152.30 and 55,696.54 is: 83,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,833.28 : 283,152.30 = 55,696.54 : x
  2. Step 2: Convert to fraction form
    188,833.28/283,152.30 = 55,696.54/x
  3. Step 3: Cross multiply
    188,833.28x = 283,152.30 × 55,696.54
  4. Step 4: Simplify right side
    188,833.28x = 15,770,603,403.04
  5. Step 5: Solve for x
    x = 15,770,603,403.04/188,833.28
  6. Step 6: Final answer
    x = 83,516.02

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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.