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Finding the Fourth Proportional to 245,748.82, 338,958.67 and 164,035.87

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Solution

The fourth proportional to 245,748.82, 338,958.67 and 164,035.87 is: 226,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,748.82 : 338,958.67 = 164,035.87 : x
  2. Step 2: Convert to fraction form
    245,748.82/338,958.67 = 164,035.87/x
  3. Step 3: Cross multiply
    245,748.82x = 338,958.67 × 164,035.87
  4. Step 4: Simplify right side
    245,748.82x = 55,601,380,327.49
  5. Step 5: Solve for x
    x = 55,601,380,327.49/245,748.82
  6. Step 6: Final answer
    x = 226,252.89

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Why These Related Problems?

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