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Finding the Fourth Proportional to 263,738.01, 363,957.97 and 142,882.32

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Solution

The fourth proportional to 263,738.01, 363,957.97 and 142,882.32 is: 197,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,738.01 : 363,957.97 = 142,882.32 : x
  2. Step 2: Convert to fraction form
    263,738.01/363,957.97 = 142,882.32/x
  3. Step 3: Cross multiply
    263,738.01x = 363,957.97 × 142,882.32
  4. Step 4: Simplify right side
    263,738.01x = 52,003,159,136.09
  5. Step 5: Solve for x
    x = 52,003,159,136.09/263,738.01
  6. Step 6: Final answer
    x = 197,177.34

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