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Finding the Fourth Proportional to 137,725.38, 206,675.46 and 58,840.20

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Solution

The fourth proportional to 137,725.38, 206,675.46 and 58,840.20 is: 88,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,725.38 : 206,675.46 = 58,840.20 : x
  2. Step 2: Convert to fraction form
    137,725.38/206,675.46 = 58,840.20/x
  3. Step 3: Cross multiply
    137,725.38x = 206,675.46 × 58,840.20
  4. Step 4: Simplify right side
    137,725.38x = 12,160,824,073.91
  5. Step 5: Solve for x
    x = 12,160,824,073.91/137,725.38
  6. Step 6: Final answer
    x = 88,297.63

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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.