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Finding the Fourth Proportional to 137,800.86, 206,698.05 and 37,960.26

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Solution

The fourth proportional to 137,800.86, 206,698.05 and 37,960.26 is: 56,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800.86 : 206,698.05 = 37,960.26 : x
  2. Step 2: Convert to fraction form
    137,800.86/206,698.05 = 37,960.26/x
  3. Step 3: Cross multiply
    137,800.86x = 206,698.05 × 37,960.26
  4. Step 4: Simplify right side
    137,800.86x = 7,846,311,719.49
  5. Step 5: Solve for x
    x = 7,846,311,719.49/137,800.86
  6. Step 6: Final answer
    x = 56,939.50

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