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Finding the Fourth Proportional to 138,874.67, 208,312.29 and 50,190.80

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Solution

The fourth proportional to 138,874.67, 208,312.29 and 50,190.80 is: 75,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.67 : 208,312.29 = 50,190.80 : x
  2. Step 2: Convert to fraction form
    138,874.67/208,312.29 = 50,190.80/x
  3. Step 3: Cross multiply
    138,874.67x = 208,312.29 × 50,190.80
  4. Step 4: Simplify right side
    138,874.67x = 10,455,360,484.93
  5. Step 5: Solve for x
    x = 10,455,360,484.93/138,874.67
  6. Step 6: Final answer
    x = 75,286.30

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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.