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Finding the Fourth Proportional to 138,638.70, 207,927.33 and 38,772.06

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Solution

The fourth proportional to 138,638.70, 207,927.33 and 38,772.06 is: 58,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.70 : 207,927.33 = 38,772.06 : x
  2. Step 2: Convert to fraction form
    138,638.70/207,927.33 = 38,772.06/x
  3. Step 3: Cross multiply
    138,638.70x = 207,927.33 × 38,772.06
  4. Step 4: Simplify right side
    138,638.70x = 8,061,770,914.40
  5. Step 5: Solve for x
    x = 8,061,770,914.40/138,638.70
  6. Step 6: Final answer
    x = 58,149.50

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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.