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Finding the Fourth Proportional to 137,555.25, 206,319.05 and 37,725.48

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Solution

The fourth proportional to 137,555.25, 206,319.05 and 37,725.48 is: 56,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,555.25 : 206,319.05 = 37,725.48 : x
  2. Step 2: Convert to fraction form
    137,555.25/206,319.05 = 37,725.48/x
  3. Step 3: Cross multiply
    137,555.25x = 206,319.05 × 37,725.48
  4. Step 4: Simplify right side
    137,555.25x = 7,783,485,194.39
  5. Step 5: Solve for x
    x = 7,783,485,194.39/137,555.25
  6. Step 6: Final answer
    x = 56,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.