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Finding the Fourth Proportional to 138,900, 208,626.77 and 131,066.45

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Solution

The fourth proportional to 138,900, 208,626.77 and 131,066.45 is: 196,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900 : 208,626.77 = 131,066.45 : x
  2. Step 2: Convert to fraction form
    138,900/208,626.77 = 131,066.45/x
  3. Step 3: Cross multiply
    138,900x = 208,626.77 × 131,066.45
  4. Step 4: Simplify right side
    138,900x = 27,343,969,403.40
  5. Step 5: Solve for x
    x = 27,343,969,403.40/138,900
  6. Step 6: Final answer
    x = 196,860.83

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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.