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Finding the Fourth Proportional to 138,853.41, 208,237.05 and 50,095.38

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Solution

The fourth proportional to 138,853.41, 208,237.05 and 50,095.38 is: 75,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.41 : 208,237.05 = 50,095.38 : x
  2. Step 2: Convert to fraction form
    138,853.41/208,237.05 = 50,095.38/x
  3. Step 3: Cross multiply
    138,853.41x = 208,237.05 × 50,095.38
  4. Step 4: Simplify right side
    138,853.41x = 10,431,713,899.35
  5. Step 5: Solve for x
    x = 10,431,713,899.35/138,853.41
  6. Step 6: Final answer
    x = 75,127.53

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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.