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Finding the Fourth Proportional to 137,651.21, 206,474.38 and 37,811.01

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Solution

The fourth proportional to 137,651.21, 206,474.38 and 37,811.01 is: 56,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,651.21 : 206,474.38 = 37,811.01 : x
  2. Step 2: Convert to fraction form
    137,651.21/206,474.38 = 37,811.01/x
  3. Step 3: Cross multiply
    137,651.21x = 206,474.38 × 37,811.01
  4. Step 4: Simplify right side
    137,651.21x = 7,807,004,752.40
  5. Step 5: Solve for x
    x = 7,807,004,752.40/137,651.21
  6. Step 6: Final answer
    x = 56,715.85

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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.