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Finding the Fourth Proportional to 149,541.76, 206,361.93 and 82,473.76

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Solution

The fourth proportional to 149,541.76, 206,361.93 and 82,473.76 is: 113,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,541.76 : 206,361.93 = 82,473.76 : x
  2. Step 2: Convert to fraction form
    149,541.76/206,361.93 = 82,473.76/x
  3. Step 3: Cross multiply
    149,541.76x = 206,361.93 × 82,473.76
  4. Step 4: Simplify right side
    149,541.76x = 17,019,444,391.27
  5. Step 5: Solve for x
    x = 17,019,444,391.27/149,541.76
  6. Step 6: Final answer
    x = 113,810.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.