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Finding the Fourth Proportional to 106,541.70, 159,832.02 and 82,708.26

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Solution

The fourth proportional to 106,541.70, 159,832.02 and 82,708.26 is: 124,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,541.70 : 159,832.02 = 82,708.26 : x
  2. Step 2: Convert to fraction form
    106,541.70/159,832.02 = 82,708.26/x
  3. Step 3: Cross multiply
    106,541.70x = 159,832.02 × 82,708.26
  4. Step 4: Simplify right side
    106,541.70x = 13,219,428,266.49
  5. Step 5: Solve for x
    x = 13,219,428,266.49/106,541.70
  6. Step 6: Final answer
    x = 124,077.50

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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.