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Finding the Fourth Proportional to 149,423.52, 206,198.42 and 81,439.04

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Solution

The fourth proportional to 149,423.52, 206,198.42 and 81,439.04 is: 112,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,423.52 : 206,198.42 = 81,439.04 : x
  2. Step 2: Convert to fraction form
    149,423.52/206,198.42 = 81,439.04/x
  3. Step 3: Cross multiply
    149,423.52x = 206,198.42 × 81,439.04
  4. Step 4: Simplify right side
    149,423.52x = 16,792,601,374.32
  5. Step 5: Solve for x
    x = 16,792,601,374.32/149,423.52
  6. Step 6: Final answer
    x = 112,382.58

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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.