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Finding the Fourth Proportional to 136,638.40, 188,532.32 and 82,951.68

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Solution

The fourth proportional to 136,638.40, 188,532.32 and 82,951.68 is: 114,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.40 : 188,532.32 = 82,951.68 : x
  2. Step 2: Convert to fraction form
    136,638.40/188,532.32 = 82,951.68/x
  3. Step 3: Cross multiply
    136,638.40x = 188,532.32 × 82,951.68
  4. Step 4: Simplify right side
    136,638.40x = 15,639,072,678.30
  5. Step 5: Solve for x
    x = 15,639,072,678.30/136,638.40
  6. Step 6: Final answer
    x = 114,455.91

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