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Finding the Fourth Proportional to 263,772.38, 364,002.99 and 142,906.45

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Solution

The fourth proportional to 263,772.38, 364,002.99 and 142,906.45 is: 197,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,772.38 : 364,002.99 = 142,906.45 : x
  2. Step 2: Convert to fraction form
    263,772.38/364,002.99 = 142,906.45/x
  3. Step 3: Cross multiply
    263,772.38x = 364,002.99 × 142,906.45
  4. Step 4: Simplify right side
    263,772.38x = 52,018,375,090.29
  5. Step 5: Solve for x
    x = 52,018,375,090.29/263,772.38
  6. Step 6: Final answer
    x = 197,209.33

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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.