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Finding the Fourth Proportional to 86,546.70, 129,820.05 and 82,464.30

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Solution

The fourth proportional to 86,546.70, 129,820.05 and 82,464.30 is: 123,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,546.70 : 129,820.05 = 82,464.30 : x
  2. Step 2: Convert to fraction form
    86,546.70/129,820.05 = 82,464.30/x
  3. Step 3: Cross multiply
    86,546.70x = 129,820.05 × 82,464.30
  4. Step 4: Simplify right side
    86,546.70x = 10,705,519,549.22
  5. Step 5: Solve for x
    x = 10,705,519,549.22/86,546.70
  6. Step 6: Final answer
    x = 123,696.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.