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Finding the Fourth Proportional to 188,016.28, 282,020.46 and 45,862

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Solution

The fourth proportional to 188,016.28, 282,020.46 and 45,862 is: 68,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,016.28 : 282,020.46 = 45,862 : x
  2. Step 2: Convert to fraction form
    188,016.28/282,020.46 = 45,862/x
  3. Step 3: Cross multiply
    188,016.28x = 282,020.46 × 45,862
  4. Step 4: Simplify right side
    188,016.28x = 12,934,022,336.52
  5. Step 5: Solve for x
    x = 12,934,022,336.52/188,016.28
  6. Step 6: Final answer
    x = 68,792.03

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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.