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Finding the Fourth Proportional to 137,651.96, 206,475.50 and 37,811.76

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Solution

The fourth proportional to 137,651.96, 206,475.50 and 37,811.76 is: 56,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,651.96 : 206,475.50 = 37,811.76 : x
  2. Step 2: Convert to fraction form
    137,651.96/206,475.50 = 37,811.76/x
  3. Step 3: Cross multiply
    137,651.96x = 206,475.50 × 37,811.76
  4. Step 4: Simplify right side
    137,651.96x = 7,807,202,051.88
  5. Step 5: Solve for x
    x = 7,807,202,051.88/137,651.96
  6. Step 6: Final answer
    x = 56,716.97

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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.