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Finding the Fourth Proportional to 263,358.97, 363,434.20 and 142,502.38

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Solution

The fourth proportional to 263,358.97, 363,434.20 and 142,502.38 is: 196,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,358.97 : 363,434.20 = 142,502.38 : x
  2. Step 2: Convert to fraction form
    263,358.97/363,434.20 = 142,502.38/x
  3. Step 3: Cross multiply
    263,358.97x = 363,434.20 × 142,502.38
  4. Step 4: Simplify right side
    263,358.97x = 51,790,237,208.55
  5. Step 5: Solve for x
    x = 51,790,237,208.55/263,358.97
  6. Step 6: Final answer
    x = 196,652.64

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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.