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Finding the Fourth Proportional to 105,125.49, 157,649.49 and 82,680.06

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Solution

The fourth proportional to 105,125.49, 157,649.49 and 82,680.06 is: 123,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,125.49 : 157,649.49 = 82,680.06 : x
  2. Step 2: Convert to fraction form
    105,125.49/157,649.49 = 82,680.06/x
  3. Step 3: Cross multiply
    105,125.49x = 157,649.49 × 82,680.06
  4. Step 4: Simplify right side
    105,125.49x = 13,034,469,292.17
  5. Step 5: Solve for x
    x = 13,034,469,292.17/105,125.49
  6. Step 6: Final answer
    x = 123,989.62

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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.