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Finding the Fourth Proportional to 136,546.30, 188,447.88 and 76,126.78

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Solution

The fourth proportional to 136,546.30, 188,447.88 and 76,126.78 is: 105,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,546.30 : 188,447.88 = 76,126.78 : x
  2. Step 2: Convert to fraction form
    136,546.30/188,447.88 = 76,126.78/x
  3. Step 3: Cross multiply
    136,546.30x = 188,447.88 × 76,126.78
  4. Step 4: Simplify right side
    136,546.30x = 14,345,930,302.23
  5. Step 5: Solve for x
    x = 14,345,930,302.23/136,546.30
  6. Step 6: Final answer
    x = 105,062.75

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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.