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Finding the Fourth Proportional to 263,852.12, 364,115.01 and 142,996.38

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Solution

The fourth proportional to 263,852.12, 364,115.01 and 142,996.38 is: 197,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,852.12 : 364,115.01 = 142,996.38 : x
  2. Step 2: Convert to fraction form
    263,852.12/364,115.01 = 142,996.38/x
  3. Step 3: Cross multiply
    263,852.12x = 364,115.01 × 142,996.38
  4. Step 4: Simplify right side
    263,852.12x = 52,067,128,333.66
  5. Step 5: Solve for x
    x = 52,067,128,333.66/263,852.12
  6. Step 6: Final answer
    x = 197,334.51

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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.