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Finding the Fourth Proportional to 102,680.06, 153,805.50 and 82,580.85

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Solution

The fourth proportional to 102,680.06, 153,805.50 and 82,580.85 is: 123,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.06 : 153,805.50 = 82,580.85 : x
  2. Step 2: Convert to fraction form
    102,680.06/153,805.50 = 82,580.85/x
  3. Step 3: Cross multiply
    102,680.06x = 153,805.50 × 82,580.85
  4. Step 4: Simplify right side
    102,680.06x = 12,701,388,924.68
  5. Step 5: Solve for x
    x = 12,701,388,924.68/102,680.06
  6. Step 6: Final answer
    x = 123,698.70

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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.