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Finding the Fourth Proportional to 263,537.45, 363,679.96 and 142,678.47

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Solution

The fourth proportional to 263,537.45, 363,679.96 and 142,678.47 is: 196,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,537.45 : 363,679.96 = 142,678.47 : x
  2. Step 2: Convert to fraction form
    263,537.45/363,679.96 = 142,678.47/x
  3. Step 3: Cross multiply
    263,537.45x = 363,679.96 × 142,678.47
  4. Step 4: Simplify right side
    263,537.45x = 51,889,300,262.46
  5. Step 5: Solve for x
    x = 51,889,300,262.46/263,537.45
  6. Step 6: Final answer
    x = 196,895.36

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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.