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Finding the Fourth Proportional to 263,523.96, 363,665.92 and 142,667.80

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Solution

The fourth proportional to 263,523.96, 363,665.92 and 142,667.80 is: 196,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,523.96 : 363,665.92 = 142,667.80 : x
  2. Step 2: Convert to fraction form
    263,523.96/363,665.92 = 142,667.80/x
  3. Step 3: Cross multiply
    263,523.96x = 363,665.92 × 142,667.80
  4. Step 4: Simplify right side
    263,523.96x = 51,883,416,741.38
  5. Step 5: Solve for x
    x = 51,883,416,741.38/263,523.96
  6. Step 6: Final answer
    x = 196,883.11

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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.