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Finding the Fourth Proportional to 205,212.85, 283,143.67 and 120,313.51

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Solution

The fourth proportional to 205,212.85, 283,143.67 and 120,313.51 is: 166,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,212.85 : 283,143.67 = 120,313.51 : x
  2. Step 2: Convert to fraction form
    205,212.85/283,143.67 = 120,313.51/x
  3. Step 3: Cross multiply
    205,212.85x = 283,143.67 × 120,313.51
  4. Step 4: Simplify right side
    205,212.85x = 34,066,008,771.98
  5. Step 5: Solve for x
    x = 34,066,008,771.98/205,212.85
  6. Step 6: Final answer
    x = 166,003.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.