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Finding the Fourth Proportional to 137,785.96, 206,680.05 and 37,951.66

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Solution

The fourth proportional to 137,785.96, 206,680.05 and 37,951.66 is: 56,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,785.96 : 206,680.05 = 37,951.66 : x
  2. Step 2: Convert to fraction form
    137,785.96/206,680.05 = 37,951.66/x
  3. Step 3: Cross multiply
    137,785.96x = 206,680.05 × 37,951.66
  4. Step 4: Simplify right side
    137,785.96x = 7,843,850,986.38
  5. Step 5: Solve for x
    x = 7,843,850,986.38/137,785.96
  6. Step 6: Final answer
    x = 56,927.80

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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.