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Finding the Fourth Proportional to 137,938.29, 206,923.64 and 49,204.41

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Solution

The fourth proportional to 137,938.29, 206,923.64 and 49,204.41 is: 73,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938.29 : 206,923.64 = 49,204.41 : x
  2. Step 2: Convert to fraction form
    137,938.29/206,923.64 = 49,204.41/x
  3. Step 3: Cross multiply
    137,938.29x = 206,923.64 × 49,204.41
  4. Step 4: Simplify right side
    137,938.29x = 10,181,555,375.23
  5. Step 5: Solve for x
    x = 10,181,555,375.23/137,938.29
  6. Step 6: Final answer
    x = 73,812.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.