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Finding the Fourth Proportional to 149,905.40, 206,869.32 and 82,837.40

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Solution

The fourth proportional to 149,905.40, 206,869.32 and 82,837.40 is: 114,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,905.40 : 206,869.32 = 82,837.40 : x
  2. Step 2: Convert to fraction form
    149,905.40/206,869.32 = 82,837.40/x
  3. Step 3: Cross multiply
    149,905.40x = 206,869.32 × 82,837.40
  4. Step 4: Simplify right side
    149,905.40x = 17,136,516,608.57
  5. Step 5: Solve for x
    x = 17,136,516,608.57/149,905.40
  6. Step 6: Final answer
    x = 114,315.54

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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.