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Finding the Fourth Proportional to 143,244.38, 197,665.66 and 82,818.90

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Solution

The fourth proportional to 143,244.38, 197,665.66 and 82,818.90 is: 114,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,244.38 : 197,665.66 = 82,818.90 : x
  2. Step 2: Convert to fraction form
    143,244.38/197,665.66 = 82,818.90/x
  3. Step 3: Cross multiply
    143,244.38x = 197,665.66 × 82,818.90
  4. Step 4: Simplify right side
    143,244.38x = 16,370,452,528.97
  5. Step 5: Solve for x
    x = 16,370,452,528.97/143,244.38
  6. Step 6: Final answer
    x = 114,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.