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Finding the Fourth Proportional to 137,683.58, 206,485.65 and 37,847.03

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Solution

The fourth proportional to 137,683.58, 206,485.65 and 37,847.03 is: 56,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683.58 : 206,485.65 = 37,847.03 : x
  2. Step 2: Convert to fraction form
    137,683.58/206,485.65 = 37,847.03/x
  3. Step 3: Cross multiply
    137,683.58x = 206,485.65 × 37,847.03
  4. Step 4: Simplify right side
    137,683.58x = 7,814,867,557.69
  5. Step 5: Solve for x
    x = 7,814,867,557.69/137,683.58
  6. Step 6: Final answer
    x = 56,759.62

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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.