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Finding the Fourth Proportional to 137,670.40, 206,481 and 36,469.20

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Solution

The fourth proportional to 137,670.40, 206,481 and 36,469.20 is: 54,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670.40 : 206,481 = 36,469.20 : x
  2. Step 2: Convert to fraction form
    137,670.40/206,481 = 36,469.20/x
  3. Step 3: Cross multiply
    137,670.40x = 206,481 × 36,469.20
  4. Step 4: Simplify right side
    137,670.40x = 7,530,196,885.20
  5. Step 5: Solve for x
    x = 7,530,196,885.20/137,670.40
  6. Step 6: Final answer
    x = 54,697.28

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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.