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Finding the Fourth Proportional to 138,005.46, 207,027.90 and 49,240.26

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Solution

The fourth proportional to 138,005.46, 207,027.90 and 49,240.26 is: 73,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005.46 : 207,027.90 = 49,240.26 : x
  2. Step 2: Convert to fraction form
    138,005.46/207,027.90 = 49,240.26/x
  3. Step 3: Cross multiply
    138,005.46x = 207,027.90 × 49,240.26
  4. Step 4: Simplify right side
    138,005.46x = 10,194,107,623.25
  5. Step 5: Solve for x
    x = 10,194,107,623.25/138,005.46
  6. Step 6: Final answer
    x = 73,867.42

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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.