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Finding the Fourth Proportional to 137,945.30, 206,808.60 and 75,615.80

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Solution

The fourth proportional to 137,945.30, 206,808.60 and 75,615.80 is: 113,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,945.30 : 206,808.60 = 75,615.80 : x
  2. Step 2: Convert to fraction form
    137,945.30/206,808.60 = 75,615.80/x
  3. Step 3: Cross multiply
    137,945.30x = 206,808.60 × 75,615.80
  4. Step 4: Simplify right side
    137,945.30x = 15,637,997,735.88
  5. Step 5: Solve for x
    x = 15,637,997,735.88/137,945.30
  6. Step 6: Final answer
    x = 113,363.76

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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.